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133650240 = 2635236053
BaseRepresentation
bin1111111011101…
…01011101000000
3100022111010122220
413331311131000
5233203301430
621132331040
73212002563
oct775653500
9308433586
10133650240
1169495449
1238913a80
13218c60a9
1413a704da
15bb00110
hex7f75740

133650240 has 112 divisors (see below), whose sum is σ = 442862208. Its totient is φ = 34084864.

The previous prime is 133650233. The next prime is 133650271. The reversal of 133650240 is 42056331.

It is a happy number.

133650240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 133650240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19054 + ... + 25106.

Almost surely, 2133650240 is an apocalyptic number.

133650240 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 133650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221431104).

133650240 is an abundant number, since it is smaller than the sum of its proper divisors (309211968).

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

133650240 is a wasteful number, since it uses less digits than its factorization.

133650240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6096 (or 6086 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 133650240 is about 11560.7197007799. The cubic root of 133650240 is about 511.2773822968.

The spelling of 133650240 in words is "one hundred thirty-three million, six hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2760 3680 4416 5520 6053 7360 11040 12106 18159 22080 24212 30265 36318 48424 60530 72636 90795 96848 121060 139219 145272 181590 193696 242120 278438 290544 363180 387392 417657 484240 556876 581088 696095 726360 835314 968480 1113752 1162176 1392190 1452720 1670628 1936960 2088285 2227504 2784380 2905440 3341256 4176570 4455008 5568760 5810880 6682512 8353140 8910016 11137520 13365024 16706280 22275040 26730048 33412560 44550080 66825120 133650240