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1230689152 = 27711236189
BaseRepresentation
bin100100101011010…
…1101001110000000
310011202202111010201
41021112231032000
510010024023102
6322041534544
742332454010
oct11126551600
93152674121
101230689152
11581767a80
122a41a4454
13167c7b044
14b963bc40
157309d987
hex495ad380

1230689152 has 256 divisors, whose sum is σ = 3278361600. Its totient is φ = 446054400.

The previous prime is 1230689137. The next prime is 1230689183. The reversal of 1230689152 is 2519860321.

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 31 ways as a sum of consecutive naturals, for example, 13827924 + ... + 13828012.

It is an arithmetic number, because the mean of its divisors is an integer number (12806100).

Almost surely, 21230689152 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 1230689152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639180800).

1230689152 is an abundant number, since it is smaller than the sum of its proper divisors (2047672448).

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

1230689152 is a wasteful number, since it uses less digits than its factorization.

1230689152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 1230689152 is about 35081.1794556568. The cubic root of 1230689152 is about 1071.6413369087.

The spelling of 1230689152 in words is "one billion, two hundred thirty million, six hundred eighty-nine thousand, one hundred fifty-two".