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133068390 = 23571379617
BaseRepresentation
bin1111110111001…
…11011001100110
3100021101120111220
413323213121212
5233031142030
621112041210
73204030330
oct773473146
9307346456
10133068390
1169128284
1238693206
13217512c0
141395c450
15ba37a10
hex7ee7666

133068390 has 128 divisors (see below), whose sum is σ = 398684160. Its totient is φ = 27675648.

The previous prime is 133068373. The next prime is 133068407. The reversal of 133068390 is 93860331.

133068390 = T2740 + T2741 + ... + T2774.

It is an interprime number because it is at equal distance from previous prime (133068373) and next prime (133068407).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215362 + ... + 215978.

It is an arithmetic number, because the mean of its divisors is an integer number (3114720).

Almost surely, 2133068390 is an apocalyptic number.

133068390 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 133068390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199342080).

133068390 is an abundant number, since it is smaller than the sum of its proper divisors (265615770).

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

133068390 is a wasteful number, since it uses less digits than its factorization.

133068390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 133068390 is about 11535.5272961404. The cubic root of 133068390 is about 510.5343495929.

The spelling of 133068390 in words is "one hundred thirty-three million, sixty-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 79 91 105 130 158 182 195 210 237 273 390 395 455 474 546 553 617 790 910 1027 1106 1185 1234 1365 1659 1851 2054 2370 2730 2765 3081 3085 3318 3702 4319 5135 5530 6162 6170 7189 8021 8295 8638 9255 10270 12957 14378 15405 16042 16590 18510 21567 21595 24063 25914 30810 35945 40105 43134 43190 48126 48743 56147 64785 71890 80210 97486 107835 112294 120315 129570 146229 168441 215670 240630 243715 280735 292458 336882 341201 487430 561470 633659 682402 731145 842205 1023603 1267318 1462290 1684410 1706005 1900977 2047206 3168295 3412010 3801954 4435613 5118015 6336590 8871226 9504885 10236030 13306839 19009770 22178065 26613678 44356130 66534195 133068390