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136493760 = 26351310937
BaseRepresentation
bin10000010001010…
…11101011000000
3100111211121020110
420020223223000
5234420300020
621313311320
73245114664
oct1010535300
9314747213
10136493760
1170057867
1239865540
1322380450
14141b08a4
15beb28e0
hex822bac0

136493760 has 112 divisors (see below), whose sum is σ = 466746336. Its totient is φ = 33595392.

The previous prime is 136493699. The next prime is 136493767. The reversal of 136493760 is 67394631.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (136493767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7012 + ... + 17948.

It is an arithmetic number, because the mean of its divisors is an integer number (4167378).

Almost surely, 2136493760 is an apocalyptic number.

136493760 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 136493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233373168).

136493760 is an abundant number, since it is smaller than the sum of its proper divisors (330252576).

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

136493760 is a wasteful number, since it uses less digits than its factorization.

136493760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10970 (or 10960 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 136493760 is about 11683.0543951486. The cubic root of 136493760 is about 514.8779174599.

The spelling of 136493760 in words is "one hundred thirty-six million, four hundred ninety-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 10937 12480 21874 32811 43748 54685 65622 87496 109370 131244 142181 164055 174992 218740 262488 284362 328110 349984 426543 437480 524976 568724 656220 699968 710905 853086 874960 1049952 1137448 1312440 1421810 1706172 1749920 2099904 2132715 2274896 2624880 2843620 3412344 3499840 4265430 4549792 5249760 5687240 6824688 8530860 9099584 10499520 11374480 13649376 17061720 22748960 27298752 34123440 45497920 68246880 136493760