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136404240 = 2435731657
BaseRepresentation
bin10000010000101…
…01110100010000
3100111200001102220
420020111310100
5234404413430
621311341040
73244263000
oct1010256420
9314601386
10136404240
116aaa6585
1239821780
132234b78b
141418a000
15be96110
hex8215d10

136404240 has 160 divisors (see below), whose sum is σ = 493420800. Its totient is φ = 31159296.

The previous prime is 136404217. The next prime is 136404259. The reversal of 136404240 is 42404631.

It is a super-2 number, since 2×1364042402 = 37212233379955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 136404240.

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, 81492 + ... + 83148.

It is an arithmetic number, because the mean of its divisors is an integer number (3083880).

Almost surely, 2136404240 is an apocalyptic number.

136404240 is a gapful number since it is divisible by the number (10) 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 136404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246710400).

136404240 is an abundant number, since it is smaller than the sum of its proper divisors (357016560).

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

136404240 is a wasteful number, since it uses less digits than its factorization.

136404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 136404240 is about 11679.2225768670. Note that the first 3 decimals coincide. The cubic root of 136404240 is about 514.7653312353.

Adding to 136404240 its reverse (42404631), we get a palindrome (178808871).

The spelling of 136404240 in words is "one hundred thirty-six million, four hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 343 392 420 490 560 588 686 735 784 840 980 1029 1176 1372 1470 1657 1680 1715 1960 2058 2352 2744 2940 3314 3430 3920 4116 4971 5145 5488 5880 6628 6860 8232 8285 9942 10290 11599 11760 13256 13720 16464 16570 19884 20580 23198 24855 26512 27440 33140 34797 39768 41160 46396 49710 57995 66280 69594 79536 81193 82320 92792 99420 115990 132560 139188 162386 173985 185584 198840 231980 243579 278376 324772 347970 397680 405965 463960 487158 556752 568351 649544 695940 811930 927920 974316 1136702 1217895 1299088 1391880 1623860 1705053 1948632 2273404 2435790 2783760 2841755 3247720 3410106 3897264 4546808 4871580 5683510 6495440 6820212 8525265 9093616 9743160 11367020 13640424 17050530 19486320 22734040 27280848 34101060 45468080 68202120 136404240