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10094496 = 253711481
BaseRepresentation
bin100110100000…
…011110100000
3200222212001020
4212200132200
510041010441
61000205440
7151542006
oct46403640
920885036
1010094496
115775165
123469880
132125899
1414aaa76
15d45e66
hex9a07a0

10094496 has 48 divisors (see below), whose sum is σ = 26889408. Its totient is φ = 3315200.

The previous prime is 10094473. The next prime is 10094503. The reversal of 10094496 is 69449001.

It is a tau number, because it is divible by the number of its divisors (48).

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, 6076 + ... + 7556.

It is an arithmetic number, because the mean of its divisors is an integer number (560196).

Almost surely, 210094496 is an apocalyptic number.

10094496 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 10094496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13444704).

10094496 is an abundant number, since it is smaller than the sum of its proper divisors (16794912).

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

10094496 is a wasteful number, since it uses less digits than its factorization.

10094496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 10094496 is about 3177.1836585253. The cubic root of 10094496 is about 216.1199607994.

The spelling of 10094496 in words is "ten million, ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1481 1704 2272 2962 3408 4443 5924 6816 8886 11848 17772 23696 35544 47392 71088 105151 142176 210302 315453 420604 630906 841208 1261812 1682416 2523624 3364832 5047248 10094496