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117216960 = 2635717443
BaseRepresentation
bin1101111110010…
…01011011000000
322011120020102220
412333021123000
5220001420320
615344211040
72622220260
oct677113300
9264506386
10117216960
1160190923
1233309a80
131b391263
14117d37a0
15a455e40
hex6fc96c0

117216960 has 112 divisors (see below), whose sum is σ = 425354496. Its totient is φ = 26790912.

The previous prime is 117216949. The next prime is 117217007. The reversal of 117216960 is 69612711.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2002 + ... + 15441.

It is an arithmetic number, because the mean of its divisors is an integer number (3797808).

Almost surely, 2117216960 is an apocalyptic number.

117216960 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 117216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212677248).

117216960 is an abundant number, since it is smaller than the sum of its proper divisors (308137536).

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

117216960 is a wasteful number, since it uses less digits than its factorization.

117216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17470 (or 17460 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 117216960 is about 10826.6781609134. The cubic root of 117216960 is about 489.3994586439.

It can be divided in two parts, 11721 and 6960, that added together give a palindrome (18681).

The spelling of 117216960 in words is "one hundred seventeen million, two hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 17443 34886 52329 69772 87215 104658 122101 139544 174430 209316 244202 261645 279088 348860 366303 418632 488404 523290 558176 610505 697720 732606 837264 976808 1046580 1116352 1221010 1395440 1465212 1674528 1831515 1953616 2093160 2442020 2790880 2930424 3349056 3663030 3907232 4186320 4884040 5581760 5860848 7326060 7814464 8372640 9768080 11721696 14652120 16745280 19536160 23443392 29304240 39072320 58608480 117216960