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14975480 = 2351331929
BaseRepresentation
bin111001001000…
…000111111000
31001011211111102
4321020013320
512313203410
61252550532
7241201202
oct71100770
931154442
1014975480
1184a9333
125022448
133144440
141dbb772
1514ac2a5
hexe481f8

14975480 has 64 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 5345280.

The previous prime is 14975437. The next prime is 14975509. The reversal of 14975480 is 8457941.

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 15 ways as a sum of consecutive naturals, for example, 15656 + ... + 16584.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 214975480 is an apocalyptic number.

14975480 is a gapful number since it is divisible by the number (10) 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 14975480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

14975480 is an abundant number, since it is smaller than the sum of its proper divisors (22522120).

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

14975480 is a wasteful number, since it uses less digits than its factorization.

14975480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 14975480 is about 3869.8165331189. The cubic root of 14975480 is about 246.4867529880.

The spelling of 14975480 in words is "fourteen million, nine hundred seventy-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 929 1240 1612 1858 2015 3224 3716 4030 4645 7432 8060 9290 12077 16120 18580 24154 28799 37160 48308 57598 60385 96616 115196 120770 143995 230392 241540 287990 374387 483080 575980 748774 1151960 1497548 1871935 2995096 3743870 7487740 14975480