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133706190 = 23517409641
BaseRepresentation
bin1111111100000…
…11000111001110
3100022120222102010
413332003013032
5233212044230
621133442050
73212324652
oct776030716
9308528363
10133706190
1169523492
1238940326
13219156b7
1413a86a62
15bb119b0
hex7f831ce

133706190 has 64 divisors (see below), whose sum is σ = 341133120. Its totient is φ = 33423360.

The previous prime is 133706189. The next prime is 133706191. The reversal of 133706190 is 91607331.

It is an interprime number because it is at equal distance from previous prime (133706189) and next prime (133706191).

It is a super-2 number, since 2×1337061902 = 35754690488632200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133706191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208270 + ... + 208910.

It is an arithmetic number, because the mean of its divisors is an integer number (5330205).

Almost surely, 2133706190 is an apocalyptic number.

133706190 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 133706190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170566560).

133706190 is an abundant number, since it is smaller than the sum of its proper divisors (207426930).

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

133706190 is a wasteful number, since it uses less digits than its factorization.

133706190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077.

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 133706190 is about 11563.1392796247. The cubic root of 133706190 is about 511.3487176936.

The spelling of 133706190 in words is "one hundred thirty-three million, seven hundred six thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 409 510 641 818 1227 1282 1923 2045 2454 3205 3846 4090 6135 6410 6953 9615 10897 12270 13906 19230 20859 21794 32691 34765 41718 54485 65382 69530 104295 108970 163455 208590 262169 326910 524338 786507 1310845 1573014 2621690 3932535 4456873 7865070 8913746 13370619 22284365 26741238 44568730 66853095 133706190