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30999132 = 22333147197
BaseRepresentation
bin111011001000…
…0001001011100
32011022220211000
41312100021130
530413433012
63024230300
7524326323
oct166201134
964286730
1030999132
111655311a
12a46b390
1365649a8
14418d0ba
152ac4ddc
hex1d9025c

30999132 has 96 divisors (see below), whose sum is σ = 85155840. Its totient is φ = 9737280.

The previous prime is 30999121. The next prime is 30999139. The reversal of 30999132 is 23199903.

It is a super-3 number, since 3×309991323 (a number of 23 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30999139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157258 + ... + 157454.

It is an arithmetic number, because the mean of its divisors is an integer number (887040).

Almost surely, 230999132 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 30999132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42577920).

30999132 is an abundant number, since it is smaller than the sum of its proper divisors (54156708).

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

30999132 is a wasteful number, since it uses less digits than its factorization.

30999132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 30999132 is about 5567.6864135833. The cubic root of 30999132 is about 314.1351332565.

The spelling of 30999132 in words is "thirty million, nine hundred ninety-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 47 54 62 93 94 108 124 141 186 188 197 279 282 372 394 423 558 564 591 788 837 846 1116 1182 1269 1457 1674 1692 1773 2364 2538 2914 3348 3546 4371 5076 5319 5828 6107 7092 8742 9259 10638 12214 13113 17484 18321 18518 21276 24428 26226 27777 36642 37036 39339 52452 54963 55554 73284 78678 83331 109926 111108 157356 164889 166662 219852 249993 287029 329778 333324 499986 574058 659556 861087 999972 1148116 1722174 2583261 3444348 5166522 7749783 10333044 15499566 30999132