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136850472 = 23341173263
BaseRepresentation
bin10000010100000…
…10110000101000
3100112111201120000
420022002300220
5240013203342
621325103000
73251131653
oct1012026050
9315451500
10136850472
1170280870
12399b7a60
1322476915
141426489a
15c03344c
hex8282c28

136850472 has 160 divisors (see below), whose sum is σ = 425494080. Its totient is φ = 40746240.

The previous prime is 136850443. The next prime is 136850503. The reversal of 136850472 is 274058631.

136850472 is a `hidden beast` number, since 136 + 8 + 50 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 520213 + ... + 520475.

It is an arithmetic number, because the mean of its divisors is an integer number (2659338).

Almost surely, 2136850472 is an apocalyptic number.

136850472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136850472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212747040).

136850472 is an abundant number, since it is smaller than the sum of its proper divisors (288643608).

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

136850472 is a wasteful number, since it uses less digits than its factorization.

136850472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 136850472 is about 11698.3106472687. The cubic root of 136850472 is about 515.3260536210.

The spelling of 136850472 in words is "one hundred thirty-six million, eight hundred fifty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 73 81 88 99 108 132 146 162 198 216 219 263 264 292 297 324 396 438 526 584 594 648 657 789 792 803 876 891 1052 1188 1314 1578 1606 1752 1782 1971 2104 2367 2376 2409 2628 2893 3156 3212 3564 3942 4734 4818 5256 5786 5913 6312 6424 7101 7128 7227 7884 8679 9468 9636 11572 11826 14202 14454 15768 17358 18936 19199 19272 21303 21681 23144 23652 26037 28404 28908 34716 38398 42606 43362 47304 52074 56808 57597 57816 65043 69432 76796 78111 85212 86724 104148 115194 130086 153592 156222 170424 172791 173448 208296 211189 230388 234333 260172 312444 345582 422378 460776 468666 518373 520344 624888 633567 691164 844756 937332 1036746 1267134 1382328 1555119 1689512 1874664 1900701 2073492 2534268 3110238 3801402 4146984 5068536 5702103 6220476 7602804 11404206 12440952 15205608 17106309 22808412 34212618 45616824 68425236 136850472