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12380640 = 253525793
BaseRepresentation
bin101111001110…
…100111100000
3212022000001020
4233032213200
511132140030
61121205440
7210143106
oct57164740
925260036
1012380640
116a96838
124190880
13274632c
141903c76
151148510
hexbce9e0

12380640 has 48 divisors (see below), whose sum is σ = 39000528. Its totient is φ = 3301376.

The previous prime is 12380639. The next prime is 12380653. The reversal of 12380640 is 4608321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12380640.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12417 + ... + 13376.

It is an arithmetic number, because the mean of its divisors is an integer number (812511).

Almost surely, 212380640 is an apocalyptic number.

12380640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12380640 is an abundant number, since it is smaller than the sum of its proper divisors (26619888).

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

12380640 is a wasteful number, since it uses less digits than its factorization.

12380640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25811 (or 25803 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12380640 is about 3518.6133632441. The cubic root of 12380640 is about 231.3383845250.

Adding to 12380640 its reverse (4608321), we get a palindrome (16988961).

The spelling of 12380640 in words is "twelve million, three hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 25793 51586 77379 103172 128965 154758 206344 257930 309516 386895 412688 515860 619032 773790 825376 1031720 1238064 1547580 2063440 2476128 3095160 4126880 6190320 12380640