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61213320 = 2334572699
BaseRepresentation
bin1110100110000…
…0101010001000
311021011221220000
43221200222020
5111132311240
610024003000
71342206330
oct351405210
9137157800
1061213320
113160a523
1218600460
13c8b32cc
1481b60c0
155592430
hex3a60a88

61213320 has 160 divisors (see below), whose sum is σ = 235224000. Its totient is φ = 13986432.

The previous prime is 61213319. The next prime is 61213333. The reversal of 61213320 is 2331216.

61213320 is a `hidden beast` number, since 612 + 1 + 33 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 61213293 and 61213302.

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, 21331 + ... + 24029.

It is an arithmetic number, because the mean of its divisors is an integer number (1470150).

Almost surely, 261213320 is an apocalyptic number.

61213320 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 61213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117612000).

61213320 is an abundant number, since it is smaller than the sum of its proper divisors (174010680).

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

61213320 is a wasteful number, since it uses less digits than its factorization.

61213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 61213320 is about 7823.8941710634. The cubic root of 61213320 is about 394.1080552573.

Adding to 61213320 its reverse (2331216), we get a palindrome (63544536).

The spelling of 61213320 in words is "sixty-one million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2699 2835 3240 3780 4536 5398 5670 7560 8097 10796 11340 13495 16194 18893 21592 22680 24291 26990 32388 37786 40485 48582 53980 56679 64776 72873 75572 80970 94465 97164 107960 113358 121455 145746 151144 161940 170037 188930 194328 218619 226716 242910 283395 291492 323880 340074 364365 377860 437238 453432 485820 510111 566790 582984 680148 728730 755720 850185 874476 971640 1020222 1093095 1133580 1360296 1457460 1530333 1700370 1748952 2040444 2186190 2267160 2550555 2914920 3060666 3400740 4080888 4372380 5101110 6121332 6801480 7651665 8744760 10202220 12242664 15303330 20404440 30606660 61213320