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117466160 = 2457474463
BaseRepresentation
bin1110000000001…
…10010000110000
322012000220021112
413000012100300
5220032404120
615353412452
72624305640
oct700062060
9265026245
10117466160
1160341079
123340a128
131b44a806
141185a520
15a4a4bc5
hex7006430

117466160 has 80 divisors (see below), whose sum is σ = 318836736. Its totient is φ = 39408384.

The previous prime is 117466159. The next prime is 117466171. The reversal of 117466160 is 61664711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 24089 + ... + 28551.

Almost surely, 2117466160 is an apocalyptic number.

117466160 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 117466160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159418368).

117466160 is an abundant number, since it is smaller than the sum of its proper divisors (201370576).

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

117466160 is a wasteful number, since it uses less digits than its factorization.

117466160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4530 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 117466160 is about 10838.1806591328. The cubic root of 117466160 is about 489.7460297099.

Subtracting from 117466160 its sum of digits (32), we obtain a triangular number (117466128 = T15327).

The spelling of 117466160 in words is "one hundred seventeen million, four hundred sixty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 140 188 235 280 329 376 470 560 658 752 940 1316 1645 1880 2632 3290 3760 4463 5264 6580 8926 13160 17852 22315 26320 31241 35704 44630 62482 71408 89260 124964 156205 178520 209761 249928 312410 357040 419522 499856 624820 839044 1048805 1249640 1468327 1678088 2097610 2499280 2936654 3356176 4195220 5873308 7341635 8390440 11746616 14683270 16780880 23493232 29366540 58733080 117466160