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136711920 = 2435712113
BaseRepresentation
bin10000010011000…
…00111011110000
3100112020200111110
420021200323300
5234444240140
621322113320
73250014012
oct1011407360
9315220443
10136711920
1170196764
123994b840
1322428837
141422a1b2
15c007380
hex8260ef0

136711920 has 120 divisors (see below), whose sum is σ = 433664208. Its totient is φ = 35624960.

The previous prime is 136711853. The next prime is 136711951. The reversal of 136711920 is 29117631.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 1209784 + ... + 1209896.

Almost surely, 2136711920 is an apocalyptic number.

136711920 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 136711920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216832104).

136711920 is an abundant number, since it is smaller than the sum of its proper divisors (296952288).

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

136711920 is a wasteful number, since it uses less digits than its factorization.

136711920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 136711920 is about 11692.3872669357. The cubic root of 136711920 is about 515.1520837797.

The spelling of 136711920 in words is "one hundred thirty-six million, seven hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 113 120 142 213 226 240 284 339 355 426 452 565 568 678 710 852 904 1065 1130 1136 1356 1420 1695 1704 1808 2130 2260 2712 2840 3390 3408 4260 4520 5041 5424 5680 6780 8023 8520 9040 10082 13560 15123 16046 17040 20164 24069 25205 27120 30246 32092 40115 40328 48138 50410 60492 64184 75615 80230 80656 96276 100820 120345 120984 128368 151230 160460 192552 201640 240690 241968 302460 320920 385104 403280 481380 569633 604920 641840 962760 1139266 1209840 1708899 1925520 2278532 2848165 3417798 4557064 5696330 6835596 8544495 9114128 11392660 13671192 17088990 22785320 27342384 34177980 45570640 68355960 136711920