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123630016 = 2629591129
BaseRepresentation
bin1110101111001…
…11000111000000
322121122001111111
413113213013000
5223122130031
620133453104
73030560236
oct727470700
9277561444
10123630016
1163871074
12354a1194
131c7c8273
14125c2956
15acc11b1
hex75e71c0

123630016 has 56 divisors (see below), whose sum is σ = 258318000. Its totient is φ = 58619904.

The previous prime is 123630011. The next prime is 123630019. The reversal of 123630016 is 610036321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123630011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108940 + ... + 110068.

Almost surely, 2123630016 is an apocalyptic number.

123630016 is a gapful number since it is divisible by the number (16) 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 123630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129159000).

123630016 is an abundant number, since it is smaller than the sum of its proper divisors (134687984).

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

123630016 is a wasteful number, since it uses less digits than its factorization.

123630016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 123630016 is about 11118.9035430657. The cubic root of 123630016 is about 498.1666404687.

Adding to 123630016 its reverse (610036321), we get a palindrome (733666337).

The spelling of 123630016 in words is "one hundred twenty-three million, six hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 16 29 32 58 59 64 116 118 232 236 464 472 928 944 1129 1711 1856 1888 2258 3422 3776 4516 6844 9032 13688 18064 27376 32741 36128 54752 65482 66611 72256 109504 130964 133222 261928 266444 523856 532888 1047712 1065776 1931719 2095424 2131552 3863438 4263104 7726876 15453752 30907504 61815008 123630016