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61315380 = 2234575407
BaseRepresentation
bin1110100111100…
…1100100110100
311021101010220000
43221321210310
5111144043010
610030111300
71343113020
oct351714464
9137333800
1061315380
113167a175
121864b530
13c91a8b9
148201380
1555b27c0
hex3a79934

61315380 has 120 divisors (see below), whose sum is σ = 219867648. Its totient is φ = 14012352.

The previous prime is 61315369. The next prime is 61315391. The reversal of 61315380 is 8351316.

61315380 is a `hidden beast` number, since 613 + 15 + 38 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61315369) and next prime (61315391).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8637 + ... + 14043.

Almost surely, 261315380 is an apocalyptic number.

61315380 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 61315380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109933824).

61315380 is an abundant number, since it is smaller than the sum of its proper divisors (158552268).

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

61315380 is a wasteful number, since it uses less digits than its factorization.

61315380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5435 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 61315380 is about 7830.4137821701. The cubic root of 61315380 is about 394.3269636833.

Adding to 61315380 its reverse (8351316), we get a palindrome (69666696).

It can be divided in two parts, 6131 and 5380, that added together give a palindrome (11511).

The spelling of 61315380 in words is "sixty-one million, three hundred fifteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5407 5670 10814 11340 16221 21628 27035 32442 37849 48663 54070 64884 75698 81105 97326 108140 113547 145989 151396 162210 189245 194652 227094 243315 291978 324420 340641 378490 437967 454188 486630 567735 583956 681282 729945 756980 875934 973260 1021923 1135470 1362564 1459890 1703205 1751868 2043846 2189835 2270940 2919780 3065769 3406410 4087692 4379670 5109615 6131538 6812820 8759340 10219230 12263076 15328845 20438460 30657690 61315380