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134692400 = 2452834057
BaseRepresentation
bin10000000011100…
…11111000110000
3100101110002020102
420001303320300
5233440124100
621210531532
73223603133
oct1001637060
9311402212
10134692400
116a037437
1239136ba8
1321b9c55b
1413c6221a
15bc58cd5
hex8073e30

134692400 has 60 divisors (see below), whose sum is σ = 327577992. Its totient is φ = 53214720.

The previous prime is 134692399. The next prime is 134692409. The reversal of 134692400 is 4296431.

It is not an unprimeable number, because it can be changed into a prime (134692409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 31172 + ... + 35228.

Almost surely, 2134692400 is an apocalyptic number.

134692400 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 134692400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163788996).

134692400 is an abundant number, since it is smaller than the sum of its proper divisors (192885592).

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

134692400 is a wasteful number, since it uses less digits than its factorization.

134692400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 134692400 is about 11605.7054934200. The cubic root of 134692400 is about 512.6028665221.

The spelling of 134692400 in words is "one hundred thirty-four million, six hundred ninety-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 166 200 332 400 415 664 830 1328 1660 2075 3320 4057 4150 6640 8114 8300 16228 16600 20285 32456 33200 40570 64912 81140 101425 162280 202850 324560 336731 405700 673462 811400 1346924 1622800 1683655 2693848 3367310 5387696 6734620 8418275 13469240 16836550 26938480 33673100 67346200 134692400