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117331416 = 23341710651
BaseRepresentation
bin1101111111001…
…01010111011000
322011210001110000
412333211113120
5220014101131
615350453000
72623205046
oct677452730
9264701400
10117331416
1160259914
1233364160
131b401397
1411823396
15a479ce6
hex6fe55d8

117331416 has 80 divisors (see below), whose sum is σ = 348000840. Its totient is φ = 36806400.

The previous prime is 117331387. The next prime is 117331421. The reversal of 117331416 is 614133711.

It is a super-2 number, since 2×1173314162 = 27533322361130112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 117331416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5691 + ... + 16341.

Almost surely, 2117331416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117331416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174000420).

117331416 is an abundant number, since it is smaller than the sum of its proper divisors (230669424).

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

117331416 is a wasteful number, since it uses less digits than its factorization.

117331416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10686 (or 10673 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 117331416 is about 10831.9627030377. The cubic root of 117331416 is about 489.5586974962.

The spelling of 117331416 in words is "one hundred seventeen million, three hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 10651 11016 21302 31953 42604 63906 85208 95859 127812 181067 191718 255624 287577 362134 383436 543201 575154 724268 766872 862731 1086402 1150308 1448536 1629603 1725462 2172804 2300616 3259206 3450924 4345608 4888809 6518412 6901848 9777618 13036824 14666427 19555236 29332854 39110472 58665708 117331416