Search a number
-
+
60704422740 = 2232513131198031
BaseRepresentation
bin111000100010010000…
…111111101101010100
312210200121002012002100
4320202100333231110
51443310313011430
643515350242100
74246212036213
oct704220775524
9183617065070
1060704422740
1123821078315
12b921956330
135955687690
142d1c25d07a
1518a44ea960
hexe2243fb54

60704422740 has 144 divisors (see below), whose sum is σ = 199815872256. Its totient is φ = 14828486400.

The previous prime is 60704422733. The next prime is 60704422763. The reversal of 60704422740 is 4722440706.

It is a happy number.

60704422740 is a `hidden beast` number, since 607 + 0 + 4 + 4 + 2 + 2 + 7 + 40 = 666.

60704422740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 60704422695 and 60704422704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207525 + ... + 405555.

It is an arithmetic number, because the mean of its divisors is an integer number (1387610224).

Almost surely, 260704422740 is an apocalyptic number.

60704422740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60704422740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99907936128).

60704422740 is an abundant number, since it is smaller than the sum of its proper divisors (139111449516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

60704422740 is a wasteful number, since it uses less digits than its factorization.

60704422740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198190 (or 198185 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 60704422740 in words is "sixty billion, seven hundred four million, four hundred twenty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 131 156 180 195 234 260 262 390 393 468 524 585 655 780 786 1170 1179 1310 1572 1703 1965 2340 2358 2620 3406 3930 4716 5109 5895 6812 7860 8515 10218 11790 15327 17030 20436 23580 25545 30654 34060 51090 61308 76635 102180 153270 198031 306540 396062 594093 792124 990155 1188186 1782279 1980310 2376372 2574403 2970465 3564558 3960620 5148806 5940930 7129116 7723209 8911395 10297612 11881860 12872015 15446418 17822790 23169627 25744030 25942061 30892836 35645580 38616045 46339254 51488060 51884122 77232090 77826183 92678508 103768244 115848135 129710305 154464180 155652366 231696270 233478549 259420610 311304732 337246793 389130915 463392540 466957098 518841220 674493586 778261830 933914196 1011740379 1167392745 1348987172 1556523660 1686233965 2023480758 2334785490 3035221137 3372467930 4046961516 4669570980 5058701895 6070442274 6744935860 10117403790 12140884548 15176105685 20234807580 30352211370 60704422740