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133020270 = 232523179359
BaseRepresentation
bin1111110110110…
…11101001101110
3100021022010111200
413323123221232
5233023122040
621111030330
73203440125
oct773335156
9307263450
10133020270
11690a5109
123866b3a6
1321735426
1413948abc
15ba28630
hex7edba6e

133020270 has 96 divisors (see below), whose sum is σ = 363916800. Its totient is φ = 33646272.

The previous prime is 133020253. The next prime is 133020289. The reversal of 133020270 is 72020331.

133020270 = T319 + T320 + ... + T939.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370351 + ... + 370709.

It is an arithmetic number, because the mean of its divisors is an integer number (3790800).

Almost surely, 2133020270 is an apocalyptic number.

133020270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133020270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181958400).

133020270 is an abundant number, since it is smaller than the sum of its proper divisors (230896530).

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

133020270 is a wasteful number, since it uses less digits than its factorization.

133020270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 133020270 is about 11533.4413771433. The cubic root of 133020270 is about 510.4728026074.

The spelling of 133020270 in words is "one hundred thirty-three million, twenty thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 179 207 230 345 358 359 414 537 690 718 895 1035 1074 1077 1611 1790 1795 2070 2154 2685 3222 3231 3590 4117 5370 5385 6462 8055 8234 8257 10770 12351 16110 16155 16514 20585 24702 24771 32310 37053 41170 41285 49542 61755 64261 74106 74313 82570 123510 123855 128522 148626 185265 192783 247710 321305 370530 371565 385566 578349 642610 743130 963915 1156698 1478003 1927830 2891745 2956006 4434009 5783490 7390015 8868018 13302027 14780030 22170045 26604054 44340090 66510135 133020270