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10853136 = 243373797
BaseRepresentation
bin101001011001…
…101100010000
3202102101201000
4221121230100
510234300021
61024342000
7161151540
oct51315420
922371630
1010853136
116143138
123774900
13232cc98
141627320
15e45b26
hexa59b10

10853136 has 160 divisors (see below), whose sum is σ = 36942080. Its totient is φ = 2985984.

The previous prime is 10853113. The next prime is 10853147. The reversal of 10853136 is 63135801.

It is a super-2 number, since 2×108531362 = 235581122068992, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111840 + ... + 111936.

It is an arithmetic number, because the mean of its divisors is an integer number (230888).

Almost surely, 210853136 is an apocalyptic number.

10853136 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 10853136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18471040).

10853136 is an abundant number, since it is smaller than the sum of its proper divisors (26088944).

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

10853136 is a wasteful number, since it uses less digits than its factorization.

10853136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10853136 is about 3294.4098105731. The cubic root of 10853136 is about 221.4038057233.

Adding to 10853136 its reverse (63135801), we get a palindrome (73988937).

The spelling of 10853136 in words is "ten million, eight hundred fifty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 37 42 48 54 56 63 72 74 84 97 108 111 112 126 144 148 168 189 194 216 222 252 259 291 296 333 336 378 388 432 444 504 518 582 592 666 679 756 776 777 873 888 999 1008 1036 1164 1332 1358 1512 1552 1554 1746 1776 1998 2037 2072 2328 2331 2619 2664 2716 3024 3108 3492 3589 3996 4074 4144 4656 4662 5238 5328 5432 6111 6216 6984 6993 7178 7992 8148 9324 10476 10767 10864 12222 12432 13968 13986 14356 15984 16296 18333 18648 20952 21534 24444 25123 27972 28712 32301 32592 36666 37296 41904 43068 48888 50246 55944 57424 64602 73332 75369 86136 96903 97776 100492 111888 129204 146664 150738 172272 193806 200984 226107 258408 293328 301476 387612 401968 452214 516816 602952 678321 775224 904428 1205904 1356642 1550448 1808856 2713284 3617712 5426568 10853136