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108451332 = 223311243193
BaseRepresentation
bin1100111011011…
…01011000000100
321120001220021000
412131231120010
5210230420312
614432253300
72454551433
oct635553004
9246056230
10108451332
1156244100
12303a1230
13196124b2
141059111a
1597c3adc
hex676d604

108451332 has 144 divisors (see below), whose sum is σ = 317880640. Its totient is φ = 31933440.

The previous prime is 108451331. The next prime is 108451333. The reversal of 108451332 is 233154801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (108451331) and next prime (108451333).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 108451296 and 108451305.

It is not an unprimeable number, because it can be changed into a prime (108451331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561828 + ... + 562020.

Almost surely, 2108451332 is an apocalyptic number.

108451332 is a gapful number since it is divisible by the number (12) 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 108451332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158940320).

108451332 is an abundant number, since it is smaller than the sum of its proper divisors (209429308).

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

108451332 is a wasteful number, since it uses less digits than its factorization.

108451332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 108451332 is about 10413.9969272129. The cubic root of 108451332 is about 476.8827685483.

The spelling of 108451332 in words is "one hundred eight million, four hundred fifty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 43 44 54 66 86 99 108 121 129 132 172 193 198 242 258 297 363 386 387 396 473 484 516 579 594 726 772 774 946 1089 1158 1161 1188 1419 1452 1548 1737 1892 2123 2178 2316 2322 2838 3267 3474 4246 4257 4356 4644 5203 5211 5676 6369 6534 6948 8299 8492 8514 10406 10422 12738 12771 13068 15609 16598 17028 19107 20812 20844 23353 24897 25476 25542 31218 33196 38214 46706 46827 49794 51084 57321 62436 70059 74691 76428 91289 93412 93654 99588 114642 140118 140481 149382 182578 187308 210177 224073 229284 273867 280236 280962 298764 365156 420354 448146 547734 561924 630531 821601 840708 896292 1004179 1095468 1261062 1643202 2008358 2464803 2522124 3012537 3286404 4016716 4929606 6025074 9037611 9859212 12050148 18075222 27112833 36150444 54225666 108451332