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30491136 = 293213509
BaseRepresentation
bin111010001010…
…0001000000000
32010101002222100
41310110020000
530301204021
63005310400
7520112304
oct164241000
963332870
1030491136
1116236495
12a265400
1364176c0
144099d04
152a24626
hex1d14200

30491136 has 120 divisors (see below), whose sum is σ = 94954860. Its totient is φ = 9363456.

The previous prime is 30491113. The next prime is 30491137. The reversal of 30491136 is 63119403.

It can be written as a sum of positive squares in 2 ways, for example, as 30470400 + 20736 = 5520^2 + 144^2 .

It is not an unprimeable number, because it can be changed into a prime (30491137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59650 + ... + 60158.

Almost surely, 230491136 is an apocalyptic number.

30491136 is a gapful number since it is divisible by the number (36) 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 30491136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47477430).

30491136 is an abundant number, since it is smaller than the sum of its proper divisors (64463724).

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

30491136 is a wasteful number, since it uses less digits than its factorization.

30491136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 30491136 is about 5521.8779414254. The cubic root of 30491136 is about 312.4097181332.

The spelling of 30491136 in words is "thirty million, four hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 509 512 576 624 768 832 936 1018 1152 1248 1527 1536 1664 1872 2036 2304 2496 3054 3328 3744 4072 4581 4608 4992 6108 6617 6656 7488 8144 9162 9984 12216 13234 14976 16288 18324 19851 19968 24432 26468 29952 32576 36648 39702 48864 52936 59553 59904 65152 73296 79404 97728 105872 119106 130304 146592 158808 195456 211744 238212 260608 293184 317616 390912 423488 476424 586368 635232 781824 846976 952848 1172736 1270464 1693952 1905696 2345472 2540928 3387904 3811392 5081856 7622784 10163712 15245568 30491136