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116267008 = 2111113397
BaseRepresentation
bin1101110111000…
…01100000000000
322002202222100111
412323201200000
5214231021013
615312001104
72611152604
oct673414000
9262688314
10116267008
115a6a2140
1232b30194
131b11aa60
1411627504
15a31973d
hex6ee1800

116267008 has 96 divisors (see below), whose sum is σ = 273808080. Its totient is φ = 48660480.

The previous prime is 116266999. The next prime is 116267009. The reversal of 116267008 is 800762611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116267009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292666 + ... + 293062.

Almost surely, 2116267008 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 116267008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136904040).

116267008 is an abundant number, since it is smaller than the sum of its proper divisors (157541072).

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

116267008 is a wasteful number, since it uses less digits than its factorization.

116267008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 116267008 is about 10782.7180246912. The cubic root of 116267008 is about 488.0738041201.

The spelling of 116267008 in words is "one hundred sixteen million, two hundred sixty-seven thousand, eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 397 416 512 572 704 794 832 1024 1144 1408 1588 1664 2048 2288 2816 3176 3328 4367 4576 5161 5632 6352 6656 8734 9152 10322 11264 12704 13312 17468 18304 20644 22528 25408 26624 34936 36608 41288 50816 56771 69872 73216 82576 101632 113542 139744 146432 165152 203264 227084 279488 292864 330304 406528 454168 558976 660608 813056 908336 1117952 1321216 1816672 2235904 2642432 3633344 4471808 5284864 7266688 8943616 10569728 14533376 29066752 58133504 116267008