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133079296 = 28721032
BaseRepresentation
bin1111110111010…
…10000100000000
3100021102010110211
413323222010000
5233032014141
621112203504
73204104200
oct773520400
9307363424
10133079296
1169135499
1238699594
132175625c
1413962400
15ba3ad81
hex7eea100

133079296 has 81 divisors (see below), whose sum is σ = 312037551. Its totient is φ = 56480256.

The previous prime is 133079293. The next prime is 133079321. The reversal of 133079296 is 692970331.

The square root of 133079296 is 11536.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (133079291) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1291981 + ... + 1292083.

Almost surely, 2133079296 is an apocalyptic number.

133079296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

133079296 is the 11536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133079296

133079296 is an abundant number, since it is smaller than the sum of its proper divisors (178958255).

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

133079296 is an frugal number, since it uses more digits than its factorization.

133079296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 40.

The cubic root of 133079296 is about 510.5482966455.

The spelling of 133079296 in words is "one hundred thirty-three million, seventy-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 103 112 128 196 206 224 256 392 412 448 721 784 824 896 1442 1568 1648 1792 2884 3136 3296 5047 5768 6272 6592 10094 10609 11536 12544 13184 20188 21218 23072 26368 40376 42436 46144 74263 80752 84872 92288 148526 161504 169744 184576 297052 323008 339488 519841 594104 646016 678976 1039682 1188208 1292032 1357952 2079364 2376416 2715904 4158728 4752832 8317456 9505664 16634912 19011328 33269824 66539648 133079296