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108807768 = 23322931412
BaseRepresentation
bin1100111110001…
…00011001011000
321120202000012100
412133010121120
5210323322033
614444043400
72460564546
oct637043130
9246660170
10108807768
1156467983
1230533560
13197087c4
1410644d96
159844513
hex67c4658

108807768 has 144 divisors (see below), whose sum is σ = 322545600. Its totient is φ = 33062400.

The previous prime is 108807767. The next prime is 108807821. The reversal of 108807768 is 867708801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108807763) 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 35 ways as a sum of consecutive naturals, for example, 2653828 + ... + 2653868.

It is an arithmetic number, because the mean of its divisors is an integer number (2239900).

Almost surely, 2108807768 is an apocalyptic number.

108807768 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 108807768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161272800).

108807768 is an abundant number, since it is smaller than the sum of its proper divisors (213737832).

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

108807768 is a wasteful number, since it uses less digits than its factorization.

108807768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 108807768 is about 10431.0962031802. The cubic root of 108807768 is about 477.4046379925.

The spelling of 108807768 in words is "one hundred eight million, eight hundred seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 31 36 41 58 62 72 82 87 93 116 123 124 164 174 186 232 246 248 261 279 328 348 369 372 492 522 558 696 738 744 899 984 1044 1116 1189 1271 1476 1681 1798 2088 2232 2378 2542 2697 2952 3362 3567 3596 3813 4756 5043 5084 5394 6724 7134 7192 7626 8091 9512 10086 10168 10701 10788 11439 13448 14268 15129 15252 16182 20172 21402 21576 22878 28536 30258 30504 32364 36859 40344 42804 45756 48749 52111 60516 64728 73718 85608 91512 97498 104222 110577 121032 146247 147436 156333 194996 208444 221154 292494 294872 312666 331731 389992 416888 438741 442308 468999 584988 625332 663462 877482 884616 937998 1169976 1250664 1326924 1511219 1754964 1875996 2653848 3022438 3509928 3751992 4533657 6044876 9067314 12089752 13600971 18134628 27201942 36269256 54403884 108807768