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1332689112 = 23342717589
BaseRepresentation
bin100111101101111…
…0011100011011000
310102212200121210000
41033123303203120
510212132022422
6340124053000
745011445666
oct11733634330
93385617700
101332689112
116242a5067
12312394160
13183141c51
14c8dcdc36
157beeacac
hex4f6f38d8

1332689112 has 80 divisors (see below), whose sum is σ = 3747031200. Its totient is φ = 442532160.

The previous prime is 1332689107. The next prime is 1332689119. The reversal of 1332689112 is 2119862331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332689119) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 171814 + ... + 179402.

It is an arithmetic number, because the mean of its divisors is an integer number (46837890).

Almost surely, 21332689112 is an apocalyptic number.

1332689112 is a gapful number since it is divisible by the number (12) 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 1332689112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873515600).

1332689112 is an abundant number, since it is smaller than the sum of its proper divisors (2414342088).

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

1332689112 is a wasteful number, since it uses less digits than its factorization.

1332689112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7878 (or 7865 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 1332689112 is about 36506.0147373005. The cubic root of 1332689112 is about 1100.4651234099.

The spelling of 1332689112 in words is "one billion, three hundred thirty-two million, six hundred eighty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 271 324 542 648 813 1084 1626 2168 2439 3252 4878 6504 7317 7589 9756 14634 15178 19512 21951 22767 29268 30356 43902 45534 58536 60712 68301 87804 91068 136602 175608 182136 204903 273204 409806 546408 614709 819612 1229418 1639224 2056619 2458836 4113238 4917672 6169857 8226476 12339714 16452952 18509571 24679428 37019142 49358856 55528713 74038284 111057426 148076568 166586139 222114852 333172278 444229704 666344556 1332689112