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10058496 = 28371871
BaseRepresentation
bin100110010111…
…101100000000
3200221000122220
4212113230000
510033332441
6555331040
7151332030
oct46275400
920830586
1010058496
115750108
123450a80
132112396
14149b8c0
15d3a466
hex997b00

10058496 has 72 divisors (see below), whose sum is σ = 30610944. Its totient is φ = 2872320.

The previous prime is 10058483. The next prime is 10058507. The reversal of 10058496 is 69485001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4441 + ... + 6311.

It is an arithmetic number, because the mean of its divisors is an integer number (425152).

Almost surely, 210058496 is an apocalyptic number.

10058496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10058496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15305472).

10058496 is an abundant number, since it is smaller than the sum of its proper divisors (20552448).

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

10058496 is an equidigital number, since it uses as much as digits as its factorization.

10058496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 10058496 is about 3171.5132035040. The cubic root of 10058496 is about 215.8627385818.

The spelling of 10058496 in words is "ten million, fifty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 1871 2688 3742 5376 5613 7484 11226 13097 14968 22452 26194 29936 39291 44904 52388 59872 78582 89808 104776 119744 157164 179616 209552 239488 314328 359232 419104 478976 628656 718464 838208 1257312 1436928 1676416 2514624 3352832 5029248 10058496