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133461240 = 233511101107
BaseRepresentation
bin1111111010001…
…11010011111000
3100022010112101220
413331013103320
5233131224430
621124312040
73210254553
oct775072370
9308115356
10133461240
1169376450
1238842620
132185b063
1413a2169a
15bab4110
hex7f474f8

133461240 has 64 divisors (see below), whose sum is σ = 436786560. Its totient is φ = 32353920.

The previous prime is 133461217. The next prime is 133461241. The reversal of 133461240 is 42164331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 133461240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133461241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49234 + ... + 51873.

It is an arithmetic number, because the mean of its divisors is an integer number (6824790).

Almost surely, 2133461240 is an apocalyptic number.

133461240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133461240 is an abundant number, since it is smaller than the sum of its proper divisors (303325320).

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

133461240 is a wasteful number, since it uses less digits than its factorization.

133461240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101132 (or 101128 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 133461240 is about 11552.5425772857. The cubic root of 133461240 is about 511.0362628616.

The spelling of 133461240 in words is "one hundred thirty-three million, four hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 101107 202214 303321 404428 505535 606642 808856 1011070 1112177 1213284 1516605 2022140 2224354 2426568 3033210 3336531 4044280 4448708 5560885 6066420 6673062 8897416 11121770 12132840 13346124 16682655 22243540 26692248 33365310 44487080 66730620 133461240