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135006630 = 23511569719
BaseRepresentation
bin10000000110000…
…00100110100110
3100102001001021120
420003000212212
5234030203010
621221354410
73226352223
oct1003004646
9312031246
10135006630
116a231530
1239268a06
1321c7c5a5
1413d0494a
15bcbbe70
hex80c09a6

135006630 has 64 divisors (see below), whose sum is σ = 354585600. Its totient is φ = 32625920.

The previous prime is 135006611. The next prime is 135006649. The reversal of 135006630 is 36600531.

It is an interprime number because it is at equal distance from previous prime (135006611) and next prime (135006649).

It is a self number, because there is not a number n which added to its sum of digits gives 135006630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187411 + ... + 188129.

It is an arithmetic number, because the mean of its divisors is an integer number (5540400).

Almost surely, 2135006630 is an apocalyptic number.

135006630 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 135006630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177292800).

135006630 is an abundant number, since it is smaller than the sum of its proper divisors (219578970).

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

135006630 is a wasteful number, since it uses less digits than its factorization.

135006630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 135006630 is about 11619.2353448925. The cubic root of 135006630 is about 513.0011817474.

The spelling of 135006630 in words is "one hundred thirty-five million, six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 569 719 1138 1438 1707 2157 2845 3414 3595 4314 5690 6259 7190 7909 8535 10785 12518 15818 17070 18777 21570 23727 31295 37554 39545 47454 62590 79090 93885 118635 187770 237270 409111 818222 1227333 2045555 2454666 4091110 4500221 6136665 9000442 12273330 13500663 22501105 27001326 45002210 67503315 135006630