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134650400 = 2552374549
BaseRepresentation
bin10000000011010…
…01101000100000
3100101100221121212
420001221220200
5233432303100
621210005252
73223336523
oct1001515040
9311327555
10134650400
116a008925
1239116828
1321b863c1
1413c50bba
15bc4b635
hex8069a20

134650400 has 72 divisors (see below), whose sum is σ = 337673700. Its totient is φ = 52392960.

The previous prime is 134650381. The next prime is 134650429. The reversal of 134650400 is 4056431.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 94556176 + 40094224 = 9724^2 + 6332^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27326 + ... + 31874.

Almost surely, 2134650400 is an apocalyptic number.

134650400 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 134650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168836850).

134650400 is an abundant number, since it is smaller than the sum of its proper divisors (203023300).

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

134650400 is a wasteful number, since it uses less digits than its factorization.

134650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 134650400 is about 11603.8958974993. The cubic root of 134650400 is about 512.5495807674.

The spelling of 134650400 in words is "one hundred thirty-four million, six hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 148 160 185 200 296 370 400 592 740 800 925 1184 1480 1850 2960 3700 4549 5920 7400 9098 14800 18196 22745 29600 36392 45490 72784 90980 113725 145568 168313 181960 227450 336626 363920 454900 673252 727840 841565 909800 1346504 1683130 1819600 2693008 3366260 3639200 4207825 5386016 6732520 8415650 13465040 16831300 26930080 33662600 67325200 134650400