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116883432 = 233317139229
BaseRepresentation
bin1101111011101…
…11111111101000
322010221021221000
412331313333220
5214410232212
615333115000
72616331011
oct675677750
9263837830
10116883432
115aa83286
1233188a60
131b2a54c3
1411748008
15a3dc1dc
hex6f77fe8

116883432 has 128 divisors (see below), whose sum is σ = 347760000. Its totient is φ = 36246528.

The previous prime is 116883419. The next prime is 116883457. The reversal of 116883432 is 234388611.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510294 + ... + 510522.

It is an arithmetic number, because the mean of its divisors is an integer number (2716875).

Almost surely, 2116883432 is an apocalyptic number.

116883432 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 116883432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173880000).

116883432 is an abundant number, since it is smaller than the sum of its proper divisors (230876568).

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

116883432 is a wasteful number, since it uses less digits than its factorization.

116883432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 390 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 116883432 is about 10811.2641259013. The cubic root of 116883432 is about 488.9348402018.

The spelling of 116883432 in words is "one hundred sixteen million, eight hundred eighty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 139 153 204 216 229 278 306 408 417 458 459 556 612 687 834 916 918 1112 1224 1251 1374 1668 1832 1836 2061 2363 2502 2748 3336 3672 3753 3893 4122 4726 5004 5496 6183 7089 7506 7786 8244 9452 10008 11679 12366 14178 15012 15572 16488 18904 21267 23358 24732 28356 30024 31144 31831 35037 42534 46716 49464 56712 63662 63801 70074 85068 93432 95493 105111 127324 127602 140148 170136 190986 210222 254648 255204 280296 286479 381972 420444 510408 541127 572958 763944 840888 859437 1082254 1145916 1623381 1718874 2164508 2291832 3246762 3437748 4329016 4870143 6493524 6875496 9740286 12987048 14610429 19480572 29220858 38961144 58441716 116883432