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61125696 = 2632106121
BaseRepresentation
bin1110100100101…
…1010001000000
311021000111200200
43221023101000
5111122010241
610022045200
71341363012
oct351132100
9137014620
1061125696
113155a705
1218579800
13c882468
1481921b2
1555764b6
hex3a4b440

61125696 has 42 divisors (see below), whose sum is σ = 175207422. Its totient is φ = 20375040.

The previous prime is 61125637. The next prime is 61125703. The reversal of 61125696 is 69652116.

It can be written as a sum of positive squares in only one way, i.e., 58982400 + 2143296 = 7680^2 + 1464^2 .

It is a super-2 number, since 2×611256962 = 7472701422968832, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61125696.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52485 + ... + 53636.

Almost surely, 261125696 is an apocalyptic number.

It is an amenable number.

61125696 is an abundant number, since it is smaller than the sum of its proper divisors (114081726).

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

61125696 is a wasteful number, since it uses less digits than its factorization.

61125696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106139 (or 106126 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 61125696 is about 7818.2923966810. The cubic root of 61125696 is about 393.9199163851.

The spelling of 61125696 in words is "sixty-one million, one hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 106121 212242 318363 424484 636726 848968 955089 1273452 1697936 1910178 2546904 3395872 3820356 5093808 6791744 7640712 10187616 15281424 20375232 30562848 61125696