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10094688 = 253235051
BaseRepresentation
bin100110100000…
…100001100000
3200222212022100
4212200201200
510041012223
61000210400
7151542402
oct46404140
920885270
1010094688
11577531a
123469a00
1321259b6
1414aab72
15d46043
hex9a0860

10094688 has 36 divisors (see below), whose sum is σ = 28707588. Its totient is φ = 3364800.

The previous prime is 10094687. The next prime is 10094713. The reversal of 10094688 is 88649001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10094683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17238 + ... + 17813.

It is an arithmetic number, because the mean of its divisors is an integer number (797433).

Almost surely, 210094688 is an apocalyptic number.

10094688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10094688 is an abundant number, since it is smaller than the sum of its proper divisors (18612900).

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

10094688 is a wasteful number, since it uses less digits than its factorization.

10094688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35067 (or 35056 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10094688 is about 3177.2138738209. The cubic root of 10094688 is about 216.1213310104.

The spelling of 10094688 in words is "ten million, ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 35051 70102 105153 140204 210306 280408 315459 420612 560816 630918 841224 1121632 1261836 1682448 2523672 3364896 5047344 10094688