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136847984 = 24721329463
BaseRepresentation
bin10000010100000…
…10001001110000
3100112111121010212
420022002021300
5240013113414
621325043252
73251121500
oct1012021160
9315447125
10136847984
1170279a09
12399b6528
1322475750
1414263a00
15c03283e
hex8282270

136847984 has 120 divisors (see below), whose sum is σ = 344352960. Its totient is φ = 52157952.

The previous prime is 136847947. The next prime is 136848053. The reversal of 136847984 is 489748631.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295337 + ... + 295799.

It is an arithmetic number, because the mean of its divisors is an integer number (2869608).

Almost surely, 2136847984 is an apocalyptic number.

136847984 is a gapful number since it is divisible by the number (14) 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 136847984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172176480).

136847984 is an abundant number, since it is smaller than the sum of its proper divisors (207504976).

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

136847984 is a wasteful number, since it uses less digits than its factorization.

136847984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 514 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 50.

The square root of 136847984 is about 11698.2043066447. The cubic root of 136847984 is about 515.3229306529.

The spelling of 136847984 in words is "one hundred thirty-six million, eight hundred forty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 49 52 56 58 91 98 104 112 116 182 196 203 208 232 364 377 392 406 463 464 637 728 754 784 812 926 1274 1421 1456 1508 1624 1852 2548 2639 2842 3016 3241 3248 3704 5096 5278 5684 6019 6032 6482 7408 10192 10556 11368 12038 12964 13427 18473 21112 22687 22736 24076 25928 26854 36946 42133 42224 45374 48152 51856 53708 73892 84266 90748 93989 96304 107416 147784 168532 174551 181496 187978 214832 294931 295568 337064 349102 362992 375956 589862 657923 674128 698204 751912 1179724 1221857 1315846 1396408 1503824 2359448 2443714 2631692 2792816 4718896 4887428 5263384 8552999 9774856 10526768 17105998 19549712 34211996 68423992 136847984