Search a number
-
+
136881600 = 2635228517
BaseRepresentation
bin10000010100010…
…10010111000000
3100112120022020220
420022022113000
5240020202400
621325503040
73251321502
oct1012122700
9315508226
10136881600
11702a2199
1239a11a80
1322487b3b
1414271d72
15c03c7a0
hex828a5c0

136881600 has 84 divisors (see below), whose sum is σ = 449101464. Its totient is φ = 36500480.

The previous prime is 136881587. The next prime is 136881607. The reversal of 136881600 is 6188631.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136881607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9459 + ... + 19058.

It is an arithmetic number, because the mean of its divisors is an integer number (5346446).

Almost surely, 2136881600 is an apocalyptic number.

136881600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136881600 is an abundant number, since it is smaller than the sum of its proper divisors (312219864).

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

136881600 is a wasteful number, since it uses less digits than its factorization.

136881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28542 (or 28527 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 136881600 is about 11699.6410201339. The cubic root of 136881600 is about 515.3651226698.

The spelling of 136881600 in words is "one hundred thirty-six million, eight hundred eighty-one thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 28517 57034 85551 114068 142585 171102 228136 285170 342204 427755 456272 570340 684408 712925 855510 912544 1140680 1368816 1425850 1711020 1825088 2138775 2281360 2737632 2851700 3422040 4277550 4562720 5475264 5703400 6844080 8555100 9125440 11406800 13688160 17110200 22813600 27376320 34220400 45627200 68440800 136881600