Search a number
-
+
10053936 = 243317372
BaseRepresentation
bin100110010110…
…100100110000
3200220210102000
4212112210300
510033211221
6555254000
7151312524
oct46264460
920823360
1010053936
115747742
12344a300
132110299
141499d84
15d38e26
hex996930

10053936 has 120 divisors (see below), whose sum is σ = 31404240. Its totient is φ = 3068928.

The previous prime is 10053931. The next prime is 10053961. The reversal of 10053936 is 63935001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10053931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271710 + ... + 271746.

It is an arithmetic number, because the mean of its divisors is an integer number (261702).

Almost surely, 210053936 is an apocalyptic number.

10053936 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 10053936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15702120).

10053936 is an abundant number, since it is smaller than the sum of its proper divisors (21350304).

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

10053936 is a wasteful number, since it uses less digits than its factorization.

10053936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 10053936 is about 3170.7942222730. The cubic root of 10053936 is about 215.8301133306.

The spelling of 10053936 in words is "ten million, fifty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 37 48 51 54 68 72 74 102 108 111 136 144 148 153 204 216 222 272 296 306 333 408 432 444 459 592 612 629 666 816 888 918 999 1224 1258 1332 1369 1776 1836 1887 1998 2448 2516 2664 2738 3672 3774 3996 4107 5032 5328 5476 5661 7344 7548 7992 8214 10064 10952 11322 12321 15096 15984 16428 16983 21904 22644 23273 24642 30192 32856 33966 36963 45288 46546 49284 65712 67932 69819 73926 90576 93092 98568 135864 139638 147852 186184 197136 209457 271728 279276 295704 372368 418914 558552 591408 628371 837828 1117104 1256742 1675656 2513484 3351312 5026968 10053936