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133894368 = 25321924469
BaseRepresentation
bin1111111101100…
…01000011100000
3100022221112112200
413332301003200
5233234104433
621141453200
73214040406
oct776610340
9308845480
10133894368
1169641903
1238a11200
132198024a
1413ad5476
15bb4c613
hex7fb10e0

133894368 has 72 divisors (see below), whose sum is σ = 400818600. Its totient is φ = 42280704.

The previous prime is 133894367. The next prime is 133894393. The reversal of 133894368 is 863498331.

133894368 is a `hidden beast` number, since 133 + 89 + 436 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (133894367) 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, 6763 + ... + 17706.

It is an arithmetic number, because the mean of its divisors is an integer number (5566925).

Almost surely, 2133894368 is an apocalyptic number.

133894368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133894368 is an abundant number, since it is smaller than the sum of its proper divisors (266924232).

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

133894368 is a wasteful number, since it uses less digits than its factorization.

133894368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24504 (or 24493 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 133894368 is about 11571.2733957849. The cubic root of 133894368 is about 511.5884958523.

The spelling of 133894368 in words is "one hundred thirty-three million, eight hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 24469 48938 73407 97876 146814 195752 220221 293628 391504 440442 464911 587256 783008 880884 929822 1174512 1394733 1761768 1859644 2349024 2789466 3523536 3719288 4184199 5578932 7047072 7438576 8368398 11157864 14877152 16736796 22315728 33473592 44631456 66947184 133894368