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14750964 = 2233731871
BaseRepresentation
bin111000010001…
…010011110100
31000202102112000
4320101103310
512234012324
61244055300
7236244504
oct70212364
930672460
1014750964
118365688
124b34530
1330961a7
141d5da04
1514659c9
hexe114f4

14750964 has 48 divisors (see below), whose sum is σ = 38787840. Its totient is φ = 4847040.

The previous prime is 14750941. The next prime is 14750969. The reversal of 14750964 is 46905741.

14750964 is a `hidden beast` number, since 147 + 509 + 6 + 4 = 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 (14750969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6949 + ... + 8819.

It is an arithmetic number, because the mean of its divisors is an integer number (808080).

Almost surely, 214750964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14750964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19393920).

14750964 is an abundant number, since it is smaller than the sum of its proper divisors (24036876).

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

14750964 is a wasteful number, since it uses less digits than its factorization.

14750964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 14750964 is about 3840.6983739940. The cubic root of 14750964 is about 245.2487491636.

The spelling of 14750964 in words is "fourteen million, seven hundred fifty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1871 1971 2628 3742 3942 5613 7484 7884 11226 16839 22452 33678 50517 67356 101034 136583 202068 273166 409749 546332 819498 1229247 1638996 2458494 3687741 4916988 7375482 14750964