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136875420 = 22345117681
BaseRepresentation
bin10000010100010…
…00110110011100
3100112112222210000
420022020312130
5240020003140
621325414300
73251264463
oct1012106634
9315488700
10136875420
1170298590
1239a0a390
1322485096
141426d9da
15c03aa30
hex8288d9c

136875420 has 120 divisors (see below), whose sum is σ = 468479088. Its totient is φ = 33177600.

The previous prime is 136875379. The next prime is 136875443. The reversal of 136875420 is 24578631.

136875420 is a `hidden beast` number, since 1 + 36 + 87 + 542 + 0 = 666.

136875420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13980 + ... + 21660.

Almost surely, 2136875420 is an apocalyptic number.

136875420 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 136875420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234239544).

136875420 is an abundant number, since it is smaller than the sum of its proper divisors (331603668).

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

136875420 is a wasteful number, since it uses less digits than its factorization.

136875420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7713 (or 7702 counting only the distinct ones).

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

The square root of 136875420 is about 11699.3769064852. The cubic root of 136875420 is about 515.3573665643.

The spelling of 136875420 in words is "one hundred thirty-six million, eight hundred seventy-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 7681 8910 15362 17820 23043 30724 38405 46086 69129 76810 84491 92172 115215 138258 153620 168982 207387 230430 253473 276516 337964 345645 414774 422455 460860 506946 622161 691290 760419 829548 844910 1013892 1036935 1244322 1267365 1382580 1520838 1689820 2073870 2281257 2488644 2534730 3041676 3110805 3802095 4147740 4562514 5069460 6221610 6843771 7604190 9125028 11406285 12443220 13687542 15208380 22812570 27375084 34218855 45625140 68437710 136875420