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1337142900 = 223524457143
BaseRepresentation
bin100111110110011…
…0010111001110100
310110012001220020010
41033230302321310
510214302033100
6340403340220
745064345542
oct11754627164
93405056203
101337142900
11626867285
12313981670
13184041222
14c982cd92
157c5ca750
hex4fb32e74

1337142900 has 36 divisors (see below), whose sum is σ = 3868800992. Its totient is φ = 356571360.

The previous prime is 1337142839. The next prime is 1337142907. The reversal of 1337142900 is 92417331.

It is a super-2 number, since 2×13371429002 = 3575902270040820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337142907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2228272 + ... + 2228871.

Almost surely, 21337142900 is an apocalyptic number.

1337142900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1337142900 is an abundant number, since it is smaller than the sum of its proper divisors (2531658092).

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

1337142900 is a wasteful number, since it uses less digits than its factorization.

1337142900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4457160 (or 4457153 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1337142900 is about 36566.9645992117. The cubic root of 1337142900 is about 1101.6896622076.

The spelling of 1337142900 in words is "one billion, three hundred thirty-seven million, one hundred forty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 4457143 8914286 13371429 17828572 22285715 26742858 44571430 53485716 66857145 89142860 111428575 133714290 222857150 267428580 334285725 445714300 668571450 1337142900