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136023408 = 2433499631
BaseRepresentation
bin10000001101110…
…00110101110000
3100110221201001000
420012320311300
5234310222113
621255242000
73241115463
oct1006706560
9313851030
10136023408
116a866444
1239679300
1322247331
14140cb2da
15be1d373
hex81b8d70

136023408 has 80 divisors (see below), whose sum is σ = 391840000. Its totient is φ = 45178560.

The previous prime is 136023401. The next prime is 136023421. The reversal of 136023408 is 804320631.

136023408 = T1792 + T1793 + ... + T1872.

It is a happy number.

136023408 is a `hidden beast` number, since 13 + 602 + 3 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136023401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215253 + ... + 215883.

It is an arithmetic number, because the mean of its divisors is an integer number (4898000).

Almost surely, 2136023408 is an apocalyptic number.

136023408 is a gapful number since it is divisible by the number (18) 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 136023408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195920000).

136023408 is an abundant number, since it is smaller than the sum of its proper divisors (255816592).

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

136023408 is a wasteful number, since it uses less digits than its factorization.

136023408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 136023408 is about 11662.9073562298. The cubic root of 136023408 is about 514.2858206349.

The spelling of 136023408 in words is "one hundred thirty-six million, twenty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 499 631 998 1262 1497 1893 1996 2524 2994 3786 3992 4491 5048 5679 5988 7572 7984 8982 10096 11358 11976 13473 15144 17037 17964 22716 23952 26946 30288 34074 35928 45432 53892 68148 71856 90864 107784 136296 215568 272592 314869 629738 944607 1259476 1889214 2518952 2833821 3778428 5037904 5667642 7556856 8501463 11335284 15113712 17002926 22670568 34005852 45341136 68011704 136023408