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116506624 = 21413547
BaseRepresentation
bin1101111000111…
…00000000000000
322010020011001011
412330130000000
5214311202444
615321050304
72613201313
oct674340000
9263204034
10116506624
115a846173
1233026994
131b1a2b40
141168a97a
15a365734
hex6f1c000

116506624 has 60 divisors (see below), whose sum is σ = 251388424. Its totient is φ = 53673984.

The previous prime is 116506609. The next prime is 116506639. The reversal of 116506624 is 426605611.

It is an interprime number because it is at equal distance from previous prime (116506609) and next prime (116506639).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212719 + ... + 213265.

Almost surely, 2116506624 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 116506624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125694212).

116506624 is an abundant number, since it is smaller than the sum of its proper divisors (134881800).

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

116506624 is an frugal number, since it uses more digits than its factorization.

116506624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 116506624 is about 10793.8234189744. The cubic root of 116506624 is about 488.4088663334.

The spelling of 116506624 in words is "one hundred sixteen million, five hundred six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 547 832 1024 1094 1664 2048 2188 3328 4096 4376 6656 7111 8192 8752 13312 14222 16384 17504 26624 28444 35008 53248 56888 70016 106496 113776 140032 212992 227552 280064 455104 560128 910208 1120256 1820416 2240512 3640832 4481024 7281664 8962048 14563328 29126656 58253312 116506624