Search a number
-
+
94120992 = 2532746687
BaseRepresentation
bin1011001110000…
…10110000100000
320120002211201200
411213002300200
5143043332432
613201201200
72222005140
oct547026040
9216084650
1094120992
1149146549
1227630200
13166658c4
14c700920
1583e2a7c
hex59c2c20

94120992 has 72 divisors (see below), whose sum is σ = 305899776. Its totient is φ = 26891136.

The previous prime is 94120973. The next prime is 94121039. The reversal of 94120992 is 29902149.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×941209922 = 17717522270128128, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21328 + ... + 25359.

It is an arithmetic number, because the mean of its divisors is an integer number (4248608).

Almost surely, 294120992 is an apocalyptic number.

It is an amenable number.

94120992 is an abundant number, since it is smaller than the sum of its proper divisors (211778784).

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

94120992 is a wasteful number, since it uses less digits than its factorization.

94120992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46710 (or 46699 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 94120992 is about 9701.5973942439. The cubic root of 94120992 is about 454.8785925726.

The spelling of 94120992 in words is "ninety-four million, one hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 46687 93374 140061 186748 280122 326809 373496 420183 560244 653618 746992 840366 980427 1120488 1307236 1493984 1680732 1960854 2240976 2614472 2941281 3361464 3921708 4481952 5228944 5882562 6722928 7843416 10457888 11765124 13445856 15686832 23530248 31373664 47060496 94120992