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133068690 = 23351753547
BaseRepresentation
bin1111110111001…
…11011110010010
3100021101120221000
413323213132102
5233031144230
621112042430
73204031236
oct773473622
9307346830
10133068690
1169128527
1238693416
1321751491
141395c5c6
15ba37b60
hex7ee7792

133068690 has 128 divisors (see below), whose sum is σ = 383512320. Its totient is φ = 32707584.

The previous prime is 133068643. The next prime is 133068701. The reversal of 133068690 is 96860331.

It is a happy number.

It is a super-2 number, since 2×1330686902 = 35414552516632200, which contains 22 as substring.

It is a Curzon 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, 242997 + ... + 243543.

It is an arithmetic number, because the mean of its divisors is an integer number (2996190).

Almost surely, 2133068690 is an apocalyptic number.

133068690 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 133068690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191756160).

133068690 is an abundant number, since it is smaller than the sum of its proper divisors (250443630).

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

133068690 is a wasteful number, since it uses less digits than its factorization.

133068690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 133068690 is about 11535.5402994398. The cubic root of 133068690 is about 510.5347332557.

The spelling of 133068690 in words is "one hundred thirty-three million, sixty-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 53 54 85 90 102 106 135 153 159 170 255 265 270 306 318 459 477 510 530 547 765 795 901 918 954 1094 1431 1530 1590 1641 1802 2295 2385 2703 2735 2862 3282 4505 4590 4770 4923 5406 5470 7155 8109 8205 9010 9299 9846 13515 14310 14769 16218 16410 18598 24327 24615 27030 27897 28991 29538 40545 46495 48654 49230 55794 57982 73845 81090 83691 86973 92990 121635 139485 144955 147690 167382 173946 243270 251073 260919 278970 289910 418455 434865 492847 502146 521838 782757 836910 869730 985694 1255365 1304595 1478541 1565514 2464235 2510730 2609190 2957082 3913785 4435623 4928470 7392705 7827570 8871246 13306869 14785410 22178115 26613738 44356230 66534345 133068690