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108713664 = 263467313
BaseRepresentation
bin1100111101011…
…01011011000000
321120120020010000
412132231123000
5210312314124
614442040000
72460023313
oct636553300
9246506100
10108713664
1156403204
12304a9000
13196a4a17
141061c97a
1598266c9
hex67ad6c0

108713664 has 140 divisors (see below), whose sum is σ = 328116184. Its totient is φ = 35582976.

The previous prime is 108713641. The next prime is 108713669. The reversal of 108713664 is 466317801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (108713669) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 347172 + ... + 347484.

Almost surely, 2108713664 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 108713664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164058092).

108713664 is an abundant number, since it is smaller than the sum of its proper divisors (219402520).

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

108713664 is an equidigital number, since it uses as much as digits as its factorization.

108713664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 108713664 is about 10426.5844839046. The cubic root of 108713664 is about 477.2669681531.

It can be divided in two parts, 10871 and 3664, that added together give a triangular number (14535 = T170).

The spelling of 108713664 in words is "one hundred eight million, seven hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 81 96 108 134 144 162 192 201 216 268 288 313 324 402 432 536 576 603 626 648 804 864 939 1072 1206 1252 1296 1608 1728 1809 1878 2144 2412 2504 2592 2817 3216 3618 3756 4288 4824 5008 5184 5427 5634 6432 7236 7512 8451 9648 10016 10854 11268 12864 14472 15024 16902 19296 20032 20971 21708 22536 25353 28944 30048 33804 38592 41942 43416 45072 50706 57888 60096 62913 67608 83884 86832 90144 101412 115776 125826 135216 167768 173664 180288 188739 202824 251652 270432 335536 347328 377478 405648 503304 540864 566217 671072 754956 811296 1006608 1132434 1342144 1509912 1622592 1698651 2013216 2264868 3019824 3397302 4026432 4529736 6039648 6794604 9059472 12079296 13589208 18118944 27178416 36237888 54356832 108713664