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15070968 = 2333116343
BaseRepresentation
bin111001011111…
…011011111000
31001100200111000
4321133123320
512324232333
61255005000
7242046453
oct71373370
931320430
1015070968
118564050
125069760
133178a43
14200449a
1514ca713
hexe5f6f8

15070968 has 64 divisors (see below), whose sum is σ = 45676800. Its totient is φ = 4566240.

The previous prime is 15070949. The next prime is 15070969. The reversal of 15070968 is 86907051.

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 (15070969) 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, 796 + ... + 5547.

It is an arithmetic number, because the mean of its divisors is an integer number (713700).

Almost surely, 215070968 is an apocalyptic number.

15070968 is a gapful number since it is divisible by the number (18) 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 15070968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22838400).

15070968 is an abundant number, since it is smaller than the sum of its proper divisors (30605832).

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

15070968 is a wasteful number, since it uses less digits than its factorization.

15070968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6369 (or 6359 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 15070968 is about 3882.1344644409. The cubic root of 15070968 is about 247.0095337445.

The spelling of 15070968 in words is "fifteen million, seventy thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 6343 12686 19029 25372 38058 50744 57087 69773 76116 114174 139546 152232 171261 209319 228348 279092 342522 418638 456696 558184 627957 685044 837276 1255914 1370088 1674552 1883871 2511828 3767742 5023656 7535484 15070968