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30064992 = 2531953311
BaseRepresentation
bin111001010110…
…0000101100000
32002120110102020
41302230011200
530144034432
62552221440
7513356016
oct162540540
962513366
1030064992
1115a75301
12a09a880
1362c8749
143dc88b6
15298d22c
hex1cac160

30064992 has 96 divisors (see below), whose sum is σ = 84913920. Its totient is φ = 9285120.

The previous prime is 30064987. The next prime is 30064999. The reversal of 30064992 is 29946003.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30064999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96517 + ... + 96827.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 230064992 is an apocalyptic number.

30064992 is a gapful number since it is divisible by the number (32) 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 30064992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960).

30064992 is an abundant number, since it is smaller than the sum of its proper divisors (54848928).

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

30064992 is a wasteful number, since it uses less digits than its factorization.

30064992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 30064992 is about 5483.1552959952. The cubic root of 30064992 is about 310.9474723719.

The spelling of 30064992 in words is "thirty million, sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 76 96 106 114 152 159 212 228 304 311 318 424 456 608 622 636 848 912 933 1007 1244 1272 1696 1824 1866 2014 2488 2544 3021 3732 4028 4976 5088 5909 6042 7464 8056 9952 11818 12084 14928 16112 16483 17727 23636 24168 29856 32224 32966 35454 47272 48336 49449 65932 70908 94544 96672 98898 131864 141816 189088 197796 263728 283632 313177 395592 527456 567264 626354 791184 939531 1252708 1582368 1879062 2505416 3758124 5010832 7516248 10021664 15032496 30064992