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30125568 = 293111783
BaseRepresentation
bin111001011101…
…0111000000000
32002200112111210
41302322320000
530203004233
62553410120
7514030434
oct162727000
962615453
1030125568
1116006870
12a109940
13631a1a5
1440029c4
1529a1163
hex1cbae00

30125568 has 80 divisors (see below), whose sum is σ = 87601536. Its totient is φ = 9123840.

The previous prime is 30125549. The next prime is 30125587. The reversal of 30125568 is 86552103.

It is an interprime number because it is at equal distance from previous prime (30125549) and next prime (30125587).

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 7 ways as a sum of consecutive naturals, for example, 16005 + ... + 17787.

Almost surely, 230125568 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 30125568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43800768).

30125568 is an abundant number, since it is smaller than the sum of its proper divisors (57475968).

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

30125568 is a wasteful number, since it uses less digits than its factorization.

30125568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 30125568 is about 5488.6763431633. The cubic root of 30125568 is about 311.1561682286.

The spelling of 30125568 in words is "thirty million, one hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 1783 2112 2816 3566 4224 5349 5632 7132 8448 10698 14264 16896 19613 21396 28528 39226 42792 57056 58839 78452 85584 114112 117678 156904 171168 228224 235356 313808 342336 456448 470712 627616 684672 912896 941424 1255232 1369344 1882848 2510464 2738688 3765696 5020928 7531392 10041856 15062784 30125568