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5960856 = 2331167337
BaseRepresentation
bin10110101111010010011000
3102012211202110
4112233102120
53011221411
6331432320
7101444406
oct26572230
912184673
105960856
113401530
121bb56a0
131309245
14b12476
157cb2a6
hex5af498

5960856 has 64 divisors (see below), whose sum is σ = 16548480. Its totient is φ = 1774080.

The previous prime is 5960849. The next prime is 5960861. The reversal of 5960856 is 6580695.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17520 + ... + 17856.

It is an arithmetic number, because the mean of its divisors is an integer number (258570).

Almost surely, 25960856 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 5960856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8274240).

5960856 is an abundant number, since it is smaller than the sum of its proper divisors (10587624).

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

5960856 is a wasteful number, since it uses less digits than its factorization.

5960856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 5960856 is about 2441.4864324833. The cubic root of 5960856 is about 181.3160336485.

Adding to 5960856 its product of nonzero digits (64800), we get a triangular number (6025656 = T3471).

The spelling of 5960856 in words is "five million, nine hundred sixty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 337 402 536 674 737 804 1011 1348 1474 1608 2022 2211 2696 2948 3707 4044 4422 5896 7414 8088 8844 11121 14828 17688 22242 22579 29656 44484 45158 67737 88968 90316 135474 180632 248369 270948 496738 541896 745107 993476 1490214 1986952 2980428 5960856