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136432540 = 22519477639
BaseRepresentation
bin10000010000111…
…00101110011100
3100111201111021001
420020130232130
5234411320130
621312120044
73244441336
oct1010345634
9314644231
10136432540
1170015872
1239836024
132235b61a
1414196456
15be9e6ca
hex821cb9c

136432540 has 48 divisors (see below), whose sum is σ = 308044800. Its totient is φ = 50594112.

The previous prime is 136432523. The next prime is 136432553. The reversal of 136432540 is 45234631.

It is a super-2 number, since 2×1364325402 = 37227675941703200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136432499 and 136432508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14041 + ... + 21679.

It is an arithmetic number, because the mean of its divisors is an integer number (6417600).

Almost surely, 2136432540 is an apocalyptic number.

136432540 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 136432540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154022400).

136432540 is an abundant number, since it is smaller than the sum of its proper divisors (171612260).

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

136432540 is a wasteful number, since it uses less digits than its factorization.

136432540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7714 (or 7712 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 136432540 is about 11680.4340672768. The cubic root of 136432540 is about 514.8009284951.

The spelling of 136432540 in words is "one hundred thirty-six million, four hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 188 190 235 380 470 893 940 1786 3572 4465 7639 8930 15278 17860 30556 38195 76390 145141 152780 290282 359033 580564 718066 725705 1436132 1451410 1795165 2902820 3590330 6821627 7180660 13643254 27286508 34108135 68216270 136432540