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61083204 = 223721361131
BaseRepresentation
bin1110100100000…
…0111001000100
311020221100101220
43221000321010
5111114130304
610021120340
71341125100
oct351007104
9136840356
1061083204
1131530796
12185590b0
13c869010
148180900
155568ad9
hex3a40e44

61083204 has 144 divisors (see below), whose sum is σ = 182863296. Its totient is φ = 15724800.

The previous prime is 61083161. The next prime is 61083241. The reversal of 61083204 is 40238016.

It is a happy 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, 466219 + ... + 466349.

It is an arithmetic number, because the mean of its divisors is an integer number (1269884).

Almost surely, 261083204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61083204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91431648).

61083204 is an abundant number, since it is smaller than the sum of its proper divisors (121780092).

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

61083204 is a wasteful number, since it uses less digits than its factorization.

61083204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 61083204 is about 7815.5744510560. The cubic root of 61083204 is about 393.8286164011.

The spelling of 61083204 in words is "sixty-one million, eighty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 61 78 84 91 98 122 131 147 156 182 183 196 244 262 273 294 364 366 393 427 524 546 588 637 732 786 793 854 917 1092 1274 1281 1572 1586 1703 1708 1834 1911 2379 2548 2562 2751 2989 3172 3406 3668 3822 4758 5109 5124 5502 5551 5978 6419 6812 7644 7991 8967 9516 10218 11004 11102 11921 11956 12838 15982 16653 17934 19257 20436 22204 23842 23973 25676 31964 33306 35763 35868 38514 38857 47684 47946 55937 66612 71526 77028 77714 83447 95892 103883 111874 116571 143052 155428 166894 167811 207766 223748 233142 250341 311649 333788 335622 391559 415532 466284 500682 623298 671244 727181 783118 1001364 1174677 1246596 1454362 1566236 2181543 2349354 2908724 4363086 4698708 5090267 8726172 10180534 15270801 20361068 30541602 61083204