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117782064 = 24321943049
BaseRepresentation
bin1110000010100…
…11011000110000
322012121221121200
413001103120300
5220123011224
615404251200
72630062641
oct701233060
9265557550
10117782064
1160537454
1233540b00
131b52b53a
14118dd6c8
15a5185c9
hex7053630

117782064 has 60 divisors (see below), whose sum is σ = 346983000. Its totient is φ = 37193472.

The previous prime is 117782039. The next prime is 117782081. The reversal of 117782064 is 460287711.

It is a super-2 number, since 2×1177820642 = 27745229200200192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18789 + ... + 24260.

It is an arithmetic number, because the mean of its divisors is an integer number (5783050).

Almost surely, 2117782064 is an apocalyptic number.

It is an amenable number.

117782064 is an abundant number, since it is smaller than the sum of its proper divisors (229200936).

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

117782064 is a wasteful number, since it uses less digits than its factorization.

117782064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43082 (or 43073 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 117782064 is about 10852.7445376734. The cubic root of 117782064 is about 490.1846645360.

The spelling of 117782064 in words is "one hundred seventeen million, seven hundred eighty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 43049 86098 129147 172196 258294 344392 387441 516588 688784 774882 817931 1033176 1549764 1635862 2066352 2453793 3099528 3271724 4907586 6199056 6543448 7361379 9815172 13086896 14722758 19630344 29445516 39260688 58891032 117782064