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133944120 = 23325372067
BaseRepresentation
bin1111111101111…
…01001100111000
3100100001001210100
413332331030320
5233242202440
621142515400
73214335432
oct776751470
9310031710
10133944120
1169676222
1238a35b60
1321999a9b
1413b09652
15bb5c230
hex7fbd338

133944120 has 48 divisors (see below), whose sum is σ = 435319560. Its totient is φ = 35718336.

The previous prime is 133944113. The next prime is 133944121. The reversal of 133944120 is 21449331.

It is a super-3 number, since 3×1339441203 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133944121) 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, 185674 + ... + 186393.

Almost surely, 2133944120 is an apocalyptic number.

133944120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133944120 is an abundant number, since it is smaller than the sum of its proper divisors (301375440).

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

133944120 is a wasteful number, since it uses less digits than its factorization.

133944120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372084 (or 372077 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 133944120 is about 11573.4230027248. The cubic root of 133944120 is about 511.6518527591.

The spelling of 133944120 in words is "one hundred thirty-three million, nine hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 372067 744134 1116201 1488268 1860335 2232402 2976536 3348603 3720670 4464804 5581005 6697206 7441340 8929608 11162010 13394412 14882680 16743015 22324020 26788824 33486030 44648040 66972060 133944120