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133446630 = 23531434771
BaseRepresentation
bin1111111010000…
…11101111100110
3100022002210100210
413331003233212
5233130243010
621124120250
73210164142
oct775035746
9308083323
10133446630
1169366479
1238836086
1321854505
1413a1a222
15baaeb20
hex7f43be6

133446630 has 128 divisors (see below), whose sum is σ = 350355456. Its totient is φ = 32457600.

The previous prime is 133446601. The next prime is 133446637. The reversal of 133446630 is 36644331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133446637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1879495 + ... + 1879565.

It is an arithmetic number, because the mean of its divisors is an integer number (2737152).

Almost surely, 2133446630 is an apocalyptic number.

133446630 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 133446630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175177728).

133446630 is an abundant number, since it is smaller than the sum of its proper divisors (216908826).

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

133446630 is a wasteful number, since it uses less digits than its factorization.

133446630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202.

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 133446630 is about 11551.9102316457. The cubic root of 133446630 is about 511.0176144704.

The spelling of 133446630 in words is "one hundred thirty-three million, four hundred forty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 43 47 62 71 86 93 94 129 141 142 155 186 213 215 235 258 282 310 355 426 430 465 470 645 705 710 930 1065 1290 1333 1410 1457 2021 2130 2201 2666 2914 3053 3337 3999 4042 4371 4402 6063 6106 6603 6665 6674 7285 7998 8742 9159 10011 10105 11005 12126 13206 13330 14570 15265 16685 18318 19995 20022 20210 21855 22010 30315 30530 33015 33370 39990 43710 45795 50055 60630 62651 66030 91590 94643 100110 103447 125302 143491 187953 189286 206894 283929 286982 310341 313255 375906 430473 473215 517235 567858 620682 626510 717455 860946 939765 946430 1034470 1419645 1434910 1551705 1879530 2152365 2839290 3103410 4304730 4448221 8896442 13344663 22241105 26689326 44482210 66723315 133446630