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133083540 = 22335416011
BaseRepresentation
bin1111110111010…
…11000110010100
3100021102100022000
413323223012110
5233032133130
621112235300
73204122442
oct773530624
9307370260
10133083540
11691386a7
123869bb30
1321758175
1413963b92
15ba3c260
hex7eeb194

133083540 has 96 divisors (see below), whose sum is σ = 424206720. Its totient is φ = 34617600.

The previous prime is 133083529. The next prime is 133083551. The reversal of 133083540 is 45380331.

It is a happy number.

133083540 is a `hidden beast` number, since 1 + 3 + 308 + 354 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (133083529) and next prime (133083551).

It is a super-2 number, since 2×1330835402 = 35422457237863200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19135 + ... + 25145.

It is an arithmetic number, because the mean of its divisors is an integer number (4418820).

Almost surely, 2133083540 is an apocalyptic number.

133083540 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 133083540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212103360).

133083540 is an abundant number, since it is smaller than the sum of its proper divisors (291123180).

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

133083540 is a wasteful number, since it uses less digits than its factorization.

133083540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6070 (or 6062 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 133083540 is about 11536.1839444419. The cubic root of 133083540 is about 510.5537238457.

The spelling of 133083540 in words is "one hundred thirty-three million, eighty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2214 2460 3690 4428 5535 6011 7380 11070 12022 18033 22140 24044 30055 36066 54099 60110 72132 90165 108198 120220 162297 180330 216396 246451 270495 324594 360660 492902 540990 649188 739353 811485 985804 1081980 1232255 1478706 1622970 2218059 2464510 2957412 3245940 3696765 4436118 4929020 6654177 7393530 8872236 11090295 13308354 14787060 22180590 26616708 33270885 44361180 66541770 133083540