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116893952 = 287374143
BaseRepresentation
bin1101111011110…
…10100100000000
322010221211100122
412331322210000
5214411101302
615333235412
72616403460
oct675724400
9263854318
10116893952
115aa9017a
1233192b68
131b2aa226
141174bba0
15a3e03a2
hex6f7a900

116893952 has 144 divisors (see below), whose sum is σ = 287075712. Its totient is φ = 46448640.

The previous prime is 116893949. The next prime is 116893957. The reversal of 116893952 is 259398611.

It is a happy number.

Its product of digits (116640) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (116893957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2718443 + ... + 2718485.

Almost surely, 2116893952 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 116893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143537856).

116893952 is an abundant number, since it is smaller than the sum of its proper divisors (170181760).

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

116893952 is an equidigital number, since it uses as much as digits as its factorization.

116893952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its digits is 116640, while the sum is 44.

The square root of 116893952 is about 10811.7506445534. The cubic root of 116893952 is about 488.9495084918.

The spelling of 116893952 in words is "one hundred sixteen million, eight hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 41 43 56 64 74 82 86 112 128 148 164 172 224 256 259 287 296 301 328 344 448 518 574 592 602 656 688 896 1036 1148 1184 1204 1312 1376 1517 1591 1763 1792 2072 2296 2368 2408 2624 2752 3034 3182 3526 4144 4592 4736 4816 5248 5504 6068 6364 7052 8288 9184 9472 9632 10496 10619 11008 11137 12136 12341 12728 14104 16576 18368 19264 21238 22274 24272 24682 25456 28208 33152 36736 38528 42476 44548 48544 49364 50912 56416 65231 66304 73472 77056 84952 89096 97088 98728 101824 112832 130462 169904 178192 194176 197456 203648 225664 260924 339808 356384 388352 394912 407296 451328 456617 521848 679616 712768 789824 913234 1043696 1359232 1425536 1579648 1826468 2087392 2718464 2851072 3159296 3652936 4174784 7305872 8349568 14611744 16699136 29223488 58446976 116893952