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30187264 = 28373187
BaseRepresentation
bin111001100100…
…1111100000000
32002210200010211
41303021330000
530211443024
62555003504
7514405342
oct163117400
962720124
1030187264
1116049158
12a139594
13633c2b3
14401b292
1529b4594
hex1cc9f00

30187264 has 36 divisors (see below), whose sum is σ = 61904584. Its totient is φ = 14681088.

The previous prime is 30187249. The next prime is 30187303. The reversal of 30187264 is 46278103.

It is a super-2 number, since 2×301872642 = 1822541815611392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 7879 + ... + 11065.

Almost surely, 230187264 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 30187264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30952292).

30187264 is an abundant number, since it is smaller than the sum of its proper divisors (31717320).

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

30187264 is an equidigital number, since it uses as much as digits as its factorization.

30187264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 30187264 is about 5494.2937671734. The cubic root of 30187264 is about 311.3684353287.

The spelling of 30187264 in words is "thirty million, one hundred eighty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 2368 3187 4736 6374 9472 12748 25496 50992 101984 117919 203968 235838 407936 471676 815872 943352 1886704 3773408 7546816 15093632 30187264