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133181940 = 22354154139
BaseRepresentation
bin1111111000000…
…11000111110100
3100021121100021110
413330003013310
5233043310230
621114315020
73205012353
oct774030764
9307540243
10133181940
11691a5621
1238728a70
1321790ba8
141398b99a
15ba5b4b0
hex7f031f4

133181940 has 48 divisors (see below), whose sum is σ = 382011840. Its totient is φ = 34648320.

The previous prime is 133181911. The next prime is 133181941. The reversal of 133181940 is 49181331.

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 = 133181898 and 133181907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133181941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24610 + ... + 29529.

It is an arithmetic number, because the mean of its divisors is an integer number (7958580).

Almost surely, 2133181940 is an apocalyptic number.

133181940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133181940 is an abundant number, since it is smaller than the sum of its proper divisors (248829900).

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

133181940 is a wasteful number, since it uses less digits than its factorization.

133181940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54192 (or 54190 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 133181940 is about 11540.4479982365. The cubic root of 133181940 is about 510.6795248016.

The spelling of 133181940 in words is "one hundred thirty-three million, one hundred eighty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 54139 108278 162417 216556 270695 324834 541390 649668 812085 1082780 1624170 2219699 3248340 4439398 6659097 8878796 11098495 13318194 22196990 26636388 33295485 44393980 66590970 133181940