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136837620 = 223351913337
BaseRepresentation
bin10000010011111…
…11100111110100
3100112111001221000
420021333213310
5240012300440
621324523300
73251046333
oct1011774764
9315431830
10136837620
1170272147
12399b0530
1322470b0a
141425dd1a
15c02e730
hex827f9f4

136837620 has 96 divisors (see below), whose sum is σ = 448156800. Its totient is φ = 34566912.

The previous prime is 136837549. The next prime is 136837621. The reversal of 136837620 is 26738631.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136837621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3592 + ... + 16928.

It is an arithmetic number, because the mean of its divisors is an integer number (4668300).

Almost surely, 2136837620 is an apocalyptic number.

136837620 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 136837620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224078400).

136837620 is an abundant number, since it is smaller than the sum of its proper divisors (311319180).

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

136837620 is a wasteful number, since it uses less digits than its factorization.

136837620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13374 (or 13366 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 136837620 is about 11697.7613242877. The cubic root of 136837620 is about 515.3099212256.

The spelling of 136837620 in words is "one hundred thirty-six million, eight hundred thirty-seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 13337 26674 40011 53348 66685 80022 120033 133370 160044 200055 240066 253403 266740 360099 400110 480132 506806 600165 720198 760209 800220 1013612 1200330 1267015 1440396 1520418 1800495 2280627 2400660 2534030 3040836 3600990 3801045 4561254 5068060 6841881 7201980 7602090 9122508 11403135 13683762 15204180 22806270 27367524 34209405 45612540 68418810 136837620