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136073790 = 23353753257
BaseRepresentation
bin10000001110001…
…01001000111110
3100111001021011000
420013011020332
5234313330130
621300311130
73241415406
oct1007051076
9314037130
10136073790
116a8a0286
12396a24a6
1322264248
1414101806
15be2d260
hex81c523e

136073790 has 128 divisors (see below), whose sum is σ = 381179520. Its totient is φ = 34504704.

The previous prime is 136073779. The next prime is 136073837. The reversal of 136073790 is 97370631.

136073790 is a `hidden beast` number, since 13 + 607 + 37 + 9 + 0 = 666.

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, 529342 + ... + 529598.

It is an arithmetic number, because the mean of its divisors is an integer number (2977965).

Almost surely, 2136073790 is an apocalyptic number.

136073790 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 136073790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190589760).

136073790 is an abundant number, since it is smaller than the sum of its proper divisors (245105730).

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

136073790 is a wasteful number, since it uses less digits than its factorization.

136073790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 136073790 is about 11665.0670808187. The cubic root of 136073790 is about 514.3493086041.

The spelling of 136073790 in words is "one hundred thirty-six million, seventy-three thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 53 54 74 90 106 111 135 159 185 222 257 265 270 318 333 370 477 514 530 555 666 771 795 954 999 1110 1285 1431 1542 1590 1665 1961 1998 2313 2385 2570 2862 3330 3855 3922 4626 4770 4995 5883 6939 7155 7710 9509 9805 9990 11565 11766 13621 13878 14310 17649 19018 19610 23130 27242 28527 29415 34695 35298 40863 47545 52947 57054 58830 68105 69390 81726 85581 88245 95090 105894 122589 136210 142635 171162 176490 204315 245178 256743 264735 285270 367767 408630 427905 503977 513486 529470 612945 735534 855810 1007954 1225890 1283715 1511931 1838835 2519885 2567430 3023862 3677670 4535793 5039770 7559655 9071586 13607379 15119310 22678965 27214758 45357930 68036895 136073790