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108324960 = 2535832719
BaseRepresentation
bin1100111010011…
…10100001100000
321112211110220120
412131032201200
5210212344320
614425440240
72453514132
oct635164140
9245743816
10108324960
1156168167
1230340080
1319599b13
141055b052
15979b440
hex674e860

108324960 has 96 divisors (see below), whose sum is σ = 345461760. Its totient is φ = 28528128.

The previous prime is 108324929. The next prime is 108324961. The reversal of 108324960 is 69423801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108324961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38481 + ... + 41199.

It is an arithmetic number, because the mean of its divisors is an integer number (3598560).

Almost surely, 2108324960 is an apocalyptic number.

108324960 is a gapful number since it is divisible by the number (10) 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 108324960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

108324960 is an abundant number, since it is smaller than the sum of its proper divisors (237136800).

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

108324960 is a wasteful number, since it uses less digits than its factorization.

108324960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 108324960 is about 10407.9277476355. The cubic root of 108324960 is about 476.6974686818.

The spelling of 108324960 in words is "one hundred eight million, three hundred twenty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 83 96 120 160 166 240 249 332 415 480 498 664 830 996 1245 1328 1660 1992 2490 2656 2719 3320 3984 4980 5438 6640 7968 8157 9960 10876 13280 13595 16314 19920 21752 27190 32628 39840 40785 43504 54380 65256 81570 87008 108760 130512 163140 217520 225677 261024 326280 435040 451354 652560 677031 902708 1128385 1305120 1354062 1805416 2256770 2708124 3385155 3610832 4513540 5416248 6770310 7221664 9027080 10832496 13540620 18054160 21664992 27081240 36108320 54162480 108324960