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117315072 = 293273637
BaseRepresentation
bin1101111111000…
…01011000000000
322011202020000200
412333201120000
5220013040242
615350245200
72623106310
oct677413000
9264666020
10117315072
1160248606
1233356800
131b3c6b04
141181b440
15a47504c
hex6fe1600

117315072 has 120 divisors (see below), whose sum is σ = 387054096. Its totient is φ = 33509376.

The previous prime is 117315061. The next prime is 117315089. The reversal of 117315072 is 270513711.

It is a happy number.

It is a super-2 number, since 2×1173150722 = 27525652236730368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30438 + ... + 34074.

Almost surely, 2117315072 is an apocalyptic number.

117315072 is a gapful number since it is divisible by the number (12) 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 117315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193527048).

117315072 is an abundant number, since it is smaller than the sum of its proper divisors (269739024).

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

117315072 is an equidigital number, since it uses as much as digits as its factorization.

117315072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3668 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 117315072 is about 10831.2082428508. The cubic root of 117315072 is about 489.5359649688.

Adding to 117315072 its reverse (270513711), we get a palindrome (387828783).

The spelling of 117315072 in words is "one hundred seventeen million, three hundred fifteen thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 3637 4032 4608 5376 7274 8064 10752 10911 14548 16128 21822 25459 29096 32256 32733 43644 50918 58192 65466 76377 87288 101836 116384 130932 152754 174576 203672 229131 232768 261864 305508 349152 407344 458262 465536 523728 611016 698304 814688 916524 931072 1047456 1222032 1396608 1629376 1833048 1862144 2094912 2444064 2793216 3258752 3666096 4189824 4888128 5586432 6517504 7332192 8379648 9776256 13035008 14664384 16759296 19552512 29328768 39105024 58657536 117315072