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15393972 = 22311139839
BaseRepresentation
bin111010101110…
…010010110100
31001222002120010
4322232102310
512420101342
61305540220
7244563246
oct72562264
931862503
1015393972
1187647a0
1251a4670
13325ca79
14208a096
15154129c
hexeae4b4

15393972 has 48 divisors (see below), whose sum is σ = 39513600. Its totient is φ = 4625760.

The previous prime is 15393967. The next prime is 15393979. The reversal of 15393972 is 27939351.

It is a self number, because there is not a number n which added to its sum of digits gives 15393972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15393979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17929 + ... + 18767.

It is an arithmetic number, because the mean of its divisors is an integer number (823200).

Almost surely, 215393972 is an apocalyptic number.

15393972 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 15393972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19756800).

15393972 is an abundant number, since it is smaller than the sum of its proper divisors (24119628).

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

15393972 is a wasteful number, since it uses less digits than its factorization.

15393972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 994 counting only the distinct ones).

The product of its digits is 51030, while the sum is 39.

The square root of 15393972 is about 3923.5152605795. The cubic root of 15393972 is about 248.7617275179.

The spelling of 15393972 in words is "fifteen million, three hundred ninety-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 139 278 417 556 834 839 1529 1668 1678 2517 3058 3356 4587 5034 6116 9174 9229 10068 18348 18458 27687 36916 55374 110748 116621 233242 349863 466484 699726 1282831 1399452 2565662 3848493 5131324 7696986 15393972