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10388088 = 2334172341
BaseRepresentation
bin100111101000…
…001001111000
3201112202210000
4213220021320
510124404323
61010353000
7154203654
oct47501170
921482700
1010388088
1159557a7
12358b760
1321c93c9
141545a64
15da2e43
hex9e8278

10388088 has 160 divisors (see below), whose sum is σ = 32931360. Its totient is φ = 3041280.

The previous prime is 10388033. The next prime is 10388089. The reversal of 10388088 is 88088301.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (10388089) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 253348 + ... + 253388.

It is an arithmetic number, because the mean of its divisors is an integer number (205821).

Almost surely, 210388088 is an apocalyptic number.

10388088 is a gapful number since it is divisible by the number (18) 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 10388088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465680).

10388088 is an abundant number, since it is smaller than the sum of its proper divisors (22543272).

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

10388088 is a wasteful number, since it uses less digits than its factorization.

10388088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 10388088 is about 3223.0556929721. The cubic root of 10388088 is about 218.1952071329.

The spelling of 10388088 in words is "ten million, three hundred eighty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 27 34 36 41 46 51 54 68 69 72 81 82 92 102 108 123 136 138 153 162 164 184 204 207 216 246 276 306 324 328 369 391 408 414 459 492 552 612 621 648 697 738 782 828 918 943 984 1107 1173 1224 1242 1377 1394 1476 1564 1656 1836 1863 1886 2091 2214 2346 2484 2754 2788 2829 2952 3128 3321 3519 3672 3726 3772 4182 4428 4692 4968 5508 5576 5658 6273 6642 7038 7452 7544 8364 8487 8856 9384 10557 11016 11316 12546 13284 14076 14904 16031 16728 16974 18819 21114 22632 25092 25461 26568 28152 31671 32062 33948 37638 42228 48093 50184 50922 56457 63342 64124 67896 75276 76383 84456 96186 101844 112914 126684 128248 144279 150552 152766 192372 203688 225828 253368 288558 305532 384744 432837 451656 577116 611064 865674 1154232 1298511 1731348 2597022 3462696 5194044 10388088