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61698112 = 267413359
BaseRepresentation
bin1110101101011…
…1000001000000
311022002120220021
43223113001000
5111243314422
610042223224
71346265610
oct353270100
9138076807
1061698112
1131910783
12187b4b14
13ca22b78
1482a0a40
15563adc7
hex3ad7040

61698112 has 56 divisors (see below), whose sum is σ = 143377920. Its totient is φ = 25789440.

The previous prime is 61698107. The next prime is 61698127. The reversal of 61698112 is 21189616.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16689 + ... + 20047.

It is an arithmetic number, because the mean of its divisors is an integer number (2560320).

Almost surely, 261698112 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 61698112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71688960).

61698112 is an abundant number, since it is smaller than the sum of its proper divisors (81679808).

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

61698112 is a wasteful number, since it uses less digits than its factorization.

61698112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3409 counting only the distinct ones).

The product of its digits is 5184, while the sum is 34.

The square root of 61698112 is about 7854.8145745142. The cubic root of 61698112 is about 395.1457284224.

The spelling of 61698112 in words is "sixty-one million, six hundred ninety-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 1148 1312 2296 2624 3359 4592 6718 9184 13436 18368 23513 26872 47026 53744 94052 107488 137719 188104 214976 275438 376208 550876 752416 964033 1101752 1504832 1928066 2203504 3856132 4407008 7712264 8814016 15424528 30849056 61698112