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108533152 = 2571324761
BaseRepresentation
bin1100111100000…
…01010110100000
321120020001111101
412132001112200
5210241030102
614434124144
72455342120
oct636012640
9246201441
10108533152
115629a622
1230420654
1319640800
14105b2c80
1597dce87
hex67815a0

108533152 has 144 divisors (see below), whose sum is σ = 274482432. Its totient is φ = 41333760.

The previous prime is 108533147. The next prime is 108533177. The reversal of 108533152 is 251335801.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 108533152.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1779202 + ... + 1779262.

It is an arithmetic number, because the mean of its divisors is an integer number (1906128).

Almost surely, 2108533152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108533152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137241216).

108533152 is an abundant number, since it is smaller than the sum of its proper divisors (165949280).

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

108533152 is a wasteful number, since it uses less digits than its factorization.

108533152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 108533152 is about 10417.9245533839. The cubic root of 108533152 is about 477.0026648469.

Adding to 108533152 its reverse (251335801), we get a palindrome (359868953).

The spelling of 108533152 in words is "one hundred eight million, five hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 47 52 56 61 91 94 104 112 122 169 182 188 208 224 244 329 338 364 376 416 427 488 611 658 676 728 752 793 854 976 1183 1222 1316 1352 1456 1504 1586 1708 1952 2366 2444 2632 2704 2867 2912 3172 3416 4277 4732 4888 5264 5408 5551 5734 6344 6832 7943 8554 9464 9776 10309 10528 11102 11468 12688 13664 15886 17108 18928 19552 20069 20618 22204 22936 25376 31772 34216 37271 37856 40138 41236 44408 45872 55601 63544 68432 72163 74542 80276 82472 88816 91744 111202 127088 136864 144326 149084 160552 164944 177632 222404 254176 260897 288652 298168 321104 329888 444808 484523 521794 577304 596336 642208 889616 969046 1043588 1154608 1192672 1779232 1938092 2087176 2309216 3391661 3876184 4174352 6783322 7752368 8348704 13566644 15504736 27133288 54266576 108533152