Search a number
-
+
15000132 = 2237283631
BaseRepresentation
bin111001001110…
…001001000100
31001020002022110
4321032021010
512320001012
61253301020
7241333110
oct71161104
931202273
1015000132
118515904
125034770
133152724
141dc6740
1514b473c
hexe4e244

15000132 has 48 divisors (see below), whose sum is σ = 40205312. Its totient is φ = 4263840.

The previous prime is 15000131. The next prime is 15000151. The reversal of 15000132 is 23100051.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (15000131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23457 + ... + 24087.

Almost surely, 215000132 is an apocalyptic number.

15000132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15000132 is an abundant number, since it is smaller than the sum of its proper divisors (25205180).

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

15000132 is a wasteful number, since it uses less digits than its factorization.

15000132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 15000132 is about 3873.0003872966. Note that the first 3 decimals coincide. The cubic root of 15000132 is about 246.6219308531.

Adding to 15000132 its reverse (23100051), we get a palindrome (38100183).

The spelling of 15000132 in words is "fifteen million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 283 566 631 849 1132 1262 1698 1893 1981 2524 3396 3786 3962 4417 5943 7572 7924 8834 11886 13251 17668 23772 26502 53004 178573 357146 535719 714292 1071438 1250011 2142876 2500022 3750033 5000044 7500066 15000132