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133053440 = 2105131999
BaseRepresentation
bin1111110111000…
…11110000000000
3100021100211000012
413323203300000
5233030202230
621111444052
73203635622
oct773436000
9307324005
10133053440
1169118023
1238686628
1321747560
1413956c12
15ba33395
hex7ee3c00

133053440 has 88 divisors (see below), whose sum is σ = 343896000. Its totient is φ = 49102848.

The previous prime is 133053439. The next prime is 133053463. The reversal of 133053440 is 44350331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65561 + ... + 67559.

Almost surely, 2133053440 is an apocalyptic number.

133053440 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 133053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171948000).

133053440 is an abundant number, since it is smaller than the sum of its proper divisors (210842560).

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

133053440 is a wasteful number, since it uses less digits than its factorization.

133053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 133053440 is about 11534.8792798191. The cubic root of 133053440 is about 510.5152296642.

The spelling of 133053440 in words is "one hundred thirty-three million, fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1280 1664 1999 2080 2560 3328 3998 4160 5120 6656 7996 8320 9995 13312 15992 16640 19990 25987 31984 33280 39980 51974 63968 66560 79960 103948 127936 129935 159920 207896 255872 259870 319840 415792 511744 519740 639680 831584 1023488 1039480 1279360 1663168 2046976 2078960 2558720 3326336 4157920 5117440 6652672 8315840 10234880 13305344 16631680 26610688 33263360 66526720 133053440