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10088120 = 235725147
BaseRepresentation
bin100110011110…
…111010111000
3200222112022002
4212132322320
510040304440
61000120132
7151514300
oct46367270
920875262
1010088120
115770399
123466048
132122a03
1414a8600
15d44115
hex99eeb8

10088120 has 48 divisors (see below), whose sum is σ = 26409240. Its totient is φ = 3458112.

The previous prime is 10088093. The next prime is 10088207. The reversal of 10088120 is 2188001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10088092 and 10088101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 614 + ... + 4533.

Almost surely, 210088120 is an apocalyptic number.

10088120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10088120 is an abundant number, since it is smaller than the sum of its proper divisors (16321120).

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

10088120 is a wasteful number, since it uses less digits than its factorization.

10088120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5172 (or 5161 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 10088120 is about 3176.1800956495. The cubic root of 10088120 is about 216.0744485025.

The spelling of 10088120 in words is "ten million, eighty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 5147 10294 20588 25735 36029 41176 51470 72058 102940 144116 180145 205880 252203 288232 360290 504406 720580 1008812 1261015 1441160 2017624 2522030 5044060 10088120