Search a number
-
+
117923760 = 24325237121
BaseRepresentation
bin1110000011101…
…01111110110000
322012220010222200
413001311332300
5220142030020
615411303200
72631223023
oct701657660
9265803880
10117923760
1160623959
12335aab00
131b57ab96
14119391ba
15a545590
hex7075fb0

117923760 has 120 divisors (see below), whose sum is σ = 413303904. Its totient is φ = 30074880.

The previous prime is 117923723. The next prime is 117923761. The reversal of 117923760 is 67329711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 (117923761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13000 + ... + 20120.

Almost surely, 2117923760 is an apocalyptic number.

117923760 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 117923760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206651952).

117923760 is an abundant number, since it is smaller than the sum of its proper divisors (295380144).

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

117923760 is a wasteful number, since it uses less digits than its factorization.

117923760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7163 (or 7154 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 117923760 is about 10859.2706937437. The cubic root of 117923760 is about 490.3811556069.

The spelling of 117923760 in words is "one hundred seventeen million, nine hundred twenty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 7121 8280 14242 16560 21363 28484 35605 42726 56968 64089 71210 85452 106815 113936 128178 142420 163783 170904 213630 256356 284840 320445 327566 341808 427260 491349 512712 569680 640890 655132 818915 854520 982698 1025424 1281780 1310264 1474047 1637830 1709040 1965396 2456745 2563560 2620528 2948094 3275660 3930792 4913490 5127120 5896188 6551320 7370235 7861584 9826980 11792376 13102640 14740470 19653960 23584752 29480940 39307920 58961880 117923760