Search a number
-
+
123012320 = 2552712837
BaseRepresentation
bin1110101010100…
…00010011100000
322120110200011212
413111100103200
5222442343240
620112325252
73022405334
oct725202340
9276420155
10123012320
1163489a82
1235243828
131c640072
14124a17c4
15abed165
hex75504e0

123012320 has 48 divisors (see below), whose sum is σ = 291791808. Its totient is φ = 49006080.

The previous prime is 123012319. The next prime is 123012343. The reversal of 123012320 is 23210321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 123012295 and 123012304.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 41942 + ... + 44778.

It is an arithmetic number, because the mean of its divisors is an integer number (6078996).

Almost surely, 2123012320 is an apocalyptic number.

123012320 is a gapful number since it is divisible by the number (10) 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 123012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145895904).

123012320 is an abundant number, since it is smaller than the sum of its proper divisors (168779488).

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

123012320 is a wasteful number, since it uses less digits than its factorization.

123012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 123012320 is about 11091.0919209968. The cubic root of 123012320 is about 497.3355870269.

Adding to 123012320 its reverse (23210321), we get a palindrome (146222641).

The spelling of 123012320 in words is "one hundred twenty-three million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 271 542 1084 1355 2168 2710 2837 4336 5420 5674 8672 10840 11348 14185 21680 22696 28370 43360 45392 56740 90784 113480 226960 453920 768827 1537654 3075308 3844135 6150616 7688270 12301232 15376540 24602464 30753080 61506160 123012320