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5920896 = 27317907
BaseRepresentation
bin10110100101100010000000
3102010210221110
4112211202000
53003432041
6330523320
7101220042
oct26454200
912123843
105920896
113384503
121b96540
1312c3cb7
14b01a92
157be516
hex5a5880

5920896 has 64 divisors (see below), whose sum is σ = 16670880. Its totient is φ = 1855488.

The previous prime is 5920891. The next prime is 5920897. The reversal of 5920896 is 6980295.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5920891) 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, 6075 + ... + 6981.

Almost surely, 25920896 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 5920896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8335440).

5920896 is an abundant number, since it is smaller than the sum of its proper divisors (10749984).

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

5920896 is a wasteful number, since it uses less digits than its factorization.

5920896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 5920896 is about 2433.2891320186. The cubic root of 5920896 is about 180.9099599984.

The spelling of 5920896 in words is "five million, nine hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 907 1088 1632 1814 2176 2721 3264 3628 5442 6528 7256 10884 14512 15419 21768 29024 30838 43536 46257 58048 61676 87072 92514 116096 123352 174144 185028 246704 348288 370056 493408 740112 986816 1480224 1973632 2960448 5920896