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116884992 = 293721553
BaseRepresentation
bin1101111011110…
…00011000000000
322010221101001210
412331320120000
5214410304432
615333130120
72616335400
oct675703000
9263841053
10116884992
115aa84474
1233189940
131b2a6123
1411748800
15a3dc8cc
hex6f78600

116884992 has 120 divisors (see below), whose sum is σ = 362461176. Its totient is φ = 33374208.

The previous prime is 116884969. The next prime is 116884997. The reversal of 116884992 is 299488611.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116884997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74488 + ... + 76040.

Almost surely, 2116884992 is an apocalyptic number.

116884992 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 116884992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181230588).

116884992 is an abundant number, since it is smaller than the sum of its proper divisors (245576184).

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

116884992 is an equidigital number, since it uses as much as digits as its factorization.

116884992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1565 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The square root of 116884992 is about 10811.3362726353. The cubic root of 116884992 is about 488.9370154030.

The spelling of 116884992 in words is "one hundred sixteen million, eight hundred eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1176 1344 1536 1553 1568 1792 2352 2688 3106 3136 3584 4659 4704 5376 6212 6272 9318 9408 10752 10871 12424 12544 18636 18816 21742 24848 25088 32613 37272 37632 43484 49696 65226 74544 75264 76097 86968 99392 130452 149088 152194 173936 198784 228291 260904 298176 304388 347872 397568 456582 521808 596352 608776 695744 795136 913164 1043616 1192704 1217552 1391488 1826328 2087232 2385408 2435104 2782976 3652656 4174464 4870208 5565952 7305312 8348928 9740416 14610624 16697856 19480832 29221248 38961664 58442496 116884992