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15066972 = 22365167
BaseRepresentation
bin111001011110…
…011101011100
31001100111000000
4321132131130
512324120342
61254534300
7242032014
oct71363534
931314000
1015066972
118561048
125067390
133176c8b
142002c44
1514c944c
hexe5e75c

15066972 has 42 divisors (see below), whose sum is σ = 39540368. Its totient is φ = 5021352.

The previous prime is 15066971. The next prime is 15066973. The reversal of 15066972 is 27966051.

It is an interprime number because it is at equal distance from previous prime (15066971) and next prime (15066973).

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 (15066971) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 333 + ... + 5499.

Almost surely, 215066972 is an apocalyptic number.

15066972 is a gapful number since it is divisible by the number (12) 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 15066972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19770184).

15066972 is an abundant number, since it is smaller than the sum of its proper divisors (24473396).

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

15066972 is an equidigital number, since it uses as much as digits as its factorization.

15066972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189 (or 5172 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 15066972 is about 3881.6197649950. The cubic root of 15066972 is about 246.9877006557.

The spelling of 15066972 in words is "fifteen million, sixty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 5167 10334 15501 20668 31002 46503 62004 93006 139509 186012 279018 418527 558036 837054 1255581 1674108 2511162 3766743 5022324 7533486 15066972