Search a number
-
+
123412720 = 2458211879
BaseRepresentation
bin1110101101100…
…10000011110000
322121020000102111
413112302003300
5223043201340
620125055104
73025663564
oct726620360
9277200374
10123412720
1163732892
12353b7494
131c7503a2
14125676a4
15ac7baea
hex75b20f0

123412720 has 40 divisors (see below), whose sum is σ = 287436960. Its totient is φ = 49278720.

The previous prime is 123412703. The next prime is 123412759. The reversal of 123412720 is 27214321.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 123412691 and 123412700.

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, 64741 + ... + 66619.

It is an arithmetic number, because the mean of its divisors is an integer number (7185924).

Almost surely, 2123412720 is an apocalyptic number.

123412720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123412720 is an abundant number, since it is smaller than the sum of its proper divisors (164024240).

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

123412720 is a wasteful number, since it uses less digits than its factorization.

123412720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 123412720 is about 11109.1277785432. The cubic root of 123412720 is about 497.8746048591.

The spelling of 123412720 in words is "one hundred twenty-three million, four hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 821 1642 1879 3284 3758 4105 6568 7516 8210 9395 13136 15032 16420 18790 30064 32840 37580 65680 75160 150320 1542659 3085318 6170636 7713295 12341272 15426590 24682544 30853180 61706360 123412720