Search a number
-
+
15309972 = 223519829
BaseRepresentation
bin111010011001…
…110010010100
31001210211100000
4322121302110
512404404342
61304051300
7244063326
oct72316224
931724300
1015309972
118707677
125163b30
133230772
142067616
15152644c
hexe99c94

15309972 has 72 divisors (see below), whose sum is σ = 42296800. Its totient is φ = 4828896.

The previous prime is 15309967. The next prime is 15309997. The reversal of 15309972 is 27990351.

15309972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18054 + ... + 18882.

Almost surely, 215309972 is an apocalyptic number.

15309972 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 15309972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21148400).

15309972 is an abundant number, since it is smaller than the sum of its proper divisors (26986828).

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

15309972 is a wasteful number, since it uses less digits than its factorization.

15309972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 15309972 is about 3912.7959313003. The cubic root of 15309972 is about 248.3084308568.

The spelling of 15309972 in words is "fifteen million, three hundred nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 829 972 1026 1539 1658 2052 2487 3078 3316 4617 4974 6156 7461 9234 9948 14922 15751 18468 22383 29844 31502 44766 47253 63004 67149 89532 94506 134298 141759 189012 201447 268596 283518 402894 425277 567036 805788 850554 1275831 1701108 2551662 3827493 5103324 7654986 15309972