Search a number
-
+
14950872 = 2333193643
BaseRepresentation
bin111001000010…
…000111011000
31001010120202000
4321002013120
512311411442
61252241000
7241036356
oct71020730
931116660
1014950872
1184918a2
125010160
133136191
141db27d6
1514a4d4c
hexe421d8

14950872 has 64 divisors (see below), whose sum is σ = 43728000. Its totient is φ = 4720032.

The previous prime is 14950861. The next prime is 14950877. The reversal of 14950872 is 27805941.

14950872 is a `hidden beast` number, since 149 + 508 + 7 + 2 = 666.

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 (14950877) 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, 2283 + ... + 5925.

It is an arithmetic number, because the mean of its divisors is an integer number (683250).

Almost surely, 214950872 is an apocalyptic number.

14950872 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 14950872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21864000).

14950872 is an abundant number, since it is smaller than the sum of its proper divisors (28777128).

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

14950872 is a wasteful number, since it uses less digits than its factorization.

14950872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 14950872 is about 3866.6357470028. The cubic root of 14950872 is about 246.3516683609.

The spelling of 14950872 in words is "fourteen million, nine hundred fifty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 3643 4104 7286 10929 14572 21858 29144 32787 43716 65574 69217 87432 98361 131148 138434 196722 207651 262296 276868 393444 415302 553736 622953 786888 830604 1245906 1661208 1868859 2491812 3737718 4983624 7475436 14950872