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61896640 = 2651314879
BaseRepresentation
bin1110110000011…
…1011111000000
311022110200020011
43230013133000
5111321143030
610050354304
71351053451
oct354073700
9138420204
1061896640
1131a36953
121888b994
13ca92340
148313128
155679b2a
hex3b077c0

61896640 has 56 divisors (see below), whose sum is σ = 158739840. Its totient is φ = 22852608.

The previous prime is 61896629. The next prime is 61896641. The reversal of 61896640 is 4669816.

61896640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 61896593 and 61896602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61896641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3280 + ... + 11599.

It is an arithmetic number, because the mean of its divisors is an integer number (2834640).

Almost surely, 261896640 is an apocalyptic number.

It is an amenable number.

61896640 is an abundant number, since it is smaller than the sum of its proper divisors (96843200).

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

61896640 is a wasteful number, since it uses less digits than its factorization.

61896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14909 (or 14899 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 61896640 is about 7867.4417697241. The cubic root of 61896640 is about 395.5690990233.

The spelling of 61896640 in words is "sixty-one million, eight hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 14879 29758 59516 74395 119032 148790 193427 238064 297580 386854 476128 595160 773708 952256 967135 1190320 1547416 1934270 2380640 3094832 3868540 4761280 6189664 7737080 12379328 15474160 30948320 61896640