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133502040 = 23335717659
BaseRepresentation
bin1111111010100…
…01010001011000
3100022012121101000
413331101101120
5233134031130
621125225000
73210514530
oct775212130
9308177330
10133502040
11693a4071
1238862160
13218737b9
1413a324c0
15bac1260
hex7f51458

133502040 has 128 divisors (see below), whose sum is σ = 508608000. Its totient is φ = 30513024.

The previous prime is 133502011. The next prime is 133502041. The reversal of 133502040 is 40205331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133502041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1270 + ... + 16389.

It is an arithmetic number, because the mean of its divisors is an integer number (3973500).

Almost surely, 2133502040 is an apocalyptic number.

133502040 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 133502040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254304000).

133502040 is an abundant number, since it is smaller than the sum of its proper divisors (375105960).

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

133502040 is a wasteful number, since it uses less digits than its factorization.

133502040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17686 (or 17676 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 133502040 is about 11554.3082873879. The cubic root of 133502040 is about 511.0883332984.

Adding to 133502040 its reverse (40205331), we get a palindrome (173707371).

It can be divided in two parts, 13 and 3502040, that added together give a palindrome (3502053).

The spelling of 133502040 in words is "one hundred thirty-three million, five hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 17659 35318 52977 70636 88295 105954 123613 141272 158931 176590 211908 247226 264885 317862 353180 370839 423816 476793 494452 529770 618065 635724 706360 741678 794655 953586 988904 1059540 1112517 1236130 1271448 1483356 1589310 1854195 1907172 2119080 2225034 2383965 2472260 2966712 3178620 3337551 3708390 3814344 4450068 4767930 4944520 5562585 6357240 6675102 7416780 8900136 9535860 11125170 13350204 14833560 16687755 19071720 22250340 26700408 33375510 44500680 66751020 133502040