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61230456 = 23327313919
BaseRepresentation
bin1110100110010…
…0110101111000
311021012211101200
43221210311320
5111133333311
610024214200
71342310310
oct351446570
9137184350
1061230456
1131621391
121860a360
13c8bb051
1481bc440
155597556
hex3a64d78

61230456 has 96 divisors (see below), whose sum is σ = 195686400. Its totient is φ = 16925760.

The previous prime is 61230443. The next prime is 61230457. The reversal of 61230456 is 65403216.

61230456 is a `hidden beast` number, since 612 + 3 + 0 + 45 + 6 = 666.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61230457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13665 + ... + 17583.

It is an arithmetic number, because the mean of its divisors is an integer number (2038400).

Almost surely, 261230456 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 61230456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97843200).

61230456 is an abundant number, since it is smaller than the sum of its proper divisors (134455944).

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

61230456 is a wasteful number, since it uses less digits than its factorization.

61230456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 61230456 is about 7824.9892012705. The cubic root of 61230456 is about 394.1448272407.

The spelling of 61230456 in words is "sixty-one million, two hundred thirty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 3919 5208 7812 7838 11757 15624 15676 23514 27433 31352 35271 47028 54866 70542 82299 94056 109732 121489 141084 164598 219464 242978 246897 282168 329196 364467 485956 493794 658392 728934 850423 971912 987588 1093401 1457868 1700846 1975176 2186802 2551269 2915736 3401692 4373604 5102538 6803384 7653807 8747208 10205076 15307614 20410152 30615228 61230456