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61690304 = 2613531399
BaseRepresentation
bin1110101101010…
…1000111000000
311022002012012002
43223111013000
5111243042204
610042123132
71346234054
oct353250700
9138065162
1061690304
1131905925
12187b04a8
13ca1c450
14829bc64
15563891e
hex3ad51c0

61690304 has 56 divisors (see below), whose sum is σ = 134416800. Its totient is φ = 27915264.

The previous prime is 61690303. The next prime is 61690313. The reversal of 61690304 is 40309616.

It is a super-2 number, since 2×616903042 = 7611387215224832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61690303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43397 + ... + 44795.

It is an arithmetic number, because the mean of its divisors is an integer number (2400300).

Almost surely, 261690304 is an apocalyptic number.

61690304 is a gapful number since it is divisible by the number (64) 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 61690304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67208400).

61690304 is an abundant number, since it is smaller than the sum of its proper divisors (72726496).

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

61690304 is a wasteful number, since it uses less digits than its factorization.

61690304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 61690304 is about 7854.3175387808. The cubic root of 61690304 is about 395.1290589334.

The spelling of 61690304 in words is "sixty-one million, six hundred ninety thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 208 212 416 424 689 832 848 1378 1399 1696 2756 2798 3392 5512 5596 11024 11192 18187 22048 22384 36374 44096 44768 72748 74147 89536 145496 148294 290992 296588 581984 593176 963911 1163968 1186352 1927822 2372704 3855644 4745408 7711288 15422576 30845152 61690304