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5961024 = 263279131
BaseRepresentation
bin10110101111010101000000
3102012211222200
4112233111000
53011223044
6331433200
7101445036
oct26572500
912184880
105961024
113401673
121bb5800
131309344
14b12556
157cb369
hex5af540

5961024 has 84 divisors (see below), whose sum is σ = 17434560. Its totient is φ = 1946880.

The previous prime is 5961017. The next prime is 5961049. The reversal of 5961024 is 4201695.

5961024 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 4.

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 11 ways as a sum of consecutive naturals, for example, 45439 + ... + 45569.

Almost surely, 25961024 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 5961024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8717280).

5961024 is an abundant number, since it is smaller than the sum of its proper divisors (11473536).

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

5961024 is a wasteful number, since it uses less digits than its factorization.

5961024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5961024 is about 2441.5208375109. The cubic root of 5961024 is about 181.3177370285.

The spelling of 5961024 in words is "five million, nine hundred sixty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 131 144 158 192 237 262 288 316 393 474 524 576 632 711 786 948 1048 1179 1264 1422 1572 1896 2096 2358 2528 2844 3144 3792 4192 4716 5056 5688 6288 7584 8384 9432 10349 11376 12576 15168 18864 20698 22752 25152 31047 37728 41396 45504 62094 75456 82792 93141 124188 165584 186282 248376 331168 372564 496752 662336 745128 993504 1490256 1987008 2980512 5961024