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14971088 = 241131937
BaseRepresentation
bin111001000111…
…000011010000
31001011121110202
4321013003100
512313033323
61252514332
7241152326
oct71070320
931147422
1014971088
1184a6000
12501b9a8
133142442
141db9d16
1514aad28
hexe470d0

14971088 has 80 divisors (see below), whose sum is σ = 34491840. Its totient is φ = 6272640.

The previous prime is 14971079. The next prime is 14971097. The reversal of 14971088 is 88017941.

It is an interprime number because it is at equal distance from previous prime (14971079) and next prime (14971097).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404606 + ... + 404642.

It is an arithmetic number, because the mean of its divisors is an integer number (431148).

Almost surely, 214971088 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 14971088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17245920).

14971088 is an abundant number, since it is smaller than the sum of its proper divisors (19520752).

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

14971088 is a wasteful number, since it uses less digits than its factorization.

14971088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 38.

The square root of 14971088 is about 3869.2490227433. The cubic root of 14971088 is about 246.4626541351.

The spelling of 14971088 in words is "fourteen million, nine hundred seventy-one thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 19 22 37 38 44 74 76 88 121 148 152 176 209 242 296 304 407 418 484 592 703 814 836 968 1331 1406 1628 1672 1936 2299 2662 2812 3256 3344 4477 4598 5324 5624 6512 7733 8954 9196 10648 11248 15466 17908 18392 21296 25289 30932 35816 36784 49247 50578 61864 71632 85063 98494 101156 123728 170126 196988 202312 340252 393976 404624 680504 787952 935693 1361008 1871386 3742772 7485544 14971088