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117506480 = 24571316141
BaseRepresentation
bin1110000000100…
…00000110110000
322012002221120212
413000100012300
5220040201410
615354323252
72624534330
oct700200660
9265087525
10117506480
11603693a3
1233429528
131b462c80
141186b0c0
15a4b1b05
hex70101b0

117506480 has 80 divisors (see below), whose sum is σ = 336270144. Its totient is φ = 37186560.

The previous prime is 117506449. The next prime is 117506549. The reversal of 117506480 is 84605711.

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, 791 + ... + 15350.

Almost surely, 2117506480 is an apocalyptic number.

117506480 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 117506480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168135072).

117506480 is an abundant number, since it is smaller than the sum of its proper divisors (218763664).

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

117506480 is a wasteful number, since it uses less digits than its factorization.

117506480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16174 (or 16168 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 117506480 is about 10840.0405903299. The cubic root of 117506480 is about 489.8020580476.

The spelling of 117506480 in words is "one hundred seventeen million, five hundred six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 16141 32282 64564 80705 112987 129128 161410 209833 225974 258256 322820 419666 451948 564935 645640 839332 903896 1049165 1129870 1291280 1468831 1678664 1807792 2098330 2259740 2937662 3357328 4196660 4519480 5875324 7344155 8393320 9038960 11750648 14688310 16786640 23501296 29376620 58753240 117506480