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133955040 = 2535279073
BaseRepresentation
bin1111111101111…
…11110111100000
3100100001121202210
413332333313200
5233243030130
621143042120
73214412322
oct776776740
9310047683
10133955040
116968344a
1238a40340
13219a1a4b
1413b0d612
15bb605b0
hex7fbfde0

133955040 has 48 divisors (see below), whose sum is σ = 421959888. Its totient is φ = 35721216.

The previous prime is 133955033. The next prime is 133955047. The reversal of 133955040 is 40559331.

It is an interprime number because it is at equal distance from previous prime (133955033) and next prime (133955047).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 133954989 and 133955007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133955047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139057 + ... + 140016.

It is an arithmetic number, because the mean of its divisors is an integer number (8790831).

Almost surely, 2133955040 is an apocalyptic number.

133955040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133955040 is an abundant number, since it is smaller than the sum of its proper divisors (288004848).

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

133955040 is a wasteful number, since it uses less digits than its factorization.

133955040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279091 (or 279083 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 133955040 is about 11573.8947636481. The cubic root of 133955040 is about 511.6657567821.

The spelling of 133955040 in words is "one hundred thirty-three million, nine hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 279073 558146 837219 1116292 1395365 1674438 2232584 2790730 3348876 4186095 4465168 5581460 6697752 8372190 8930336 11162920 13395504 16744380 22325840 26791008 33488760 44651680 66977520 133955040