Search a number
-
+
136168398 = 2332989977
BaseRepresentation
bin10000001110111…
…00001111001110
3100111020001221000
420013130033032
5234324342043
621302321130
73242261262
oct1007341716
9314201830
10136168398
116a955373
12397291a6
1322298322
14141280a2
15be4b2d3
hex81dc3ce

136168398 has 64 divisors (see below), whose sum is σ = 316872000. Its totient is φ = 43287552.

The previous prime is 136168397. The next prime is 136168423. The reversal of 136168398 is 893861631.

It is a happy number.

136168398 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1361683982 = 37083665227772808, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136168393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138886 + ... + 139862.

It is an arithmetic number, because the mean of its divisors is an integer number (4951125).

Almost surely, 2136168398 is an apocalyptic number.

136168398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136168398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158436000).

136168398 is an abundant number, since it is smaller than the sum of its proper divisors (180703602).

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

136168398 is a wasteful number, since it uses less digits than its factorization.

136168398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1100 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 136168398 is about 11669.1215607688. The cubic root of 136168398 is about 514.4684848396.

The spelling of 136168398 in words is "one hundred thirty-six million, one hundred sixty-eight thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 89 174 178 261 267 522 534 783 801 977 1566 1602 1954 2403 2581 2931 4806 5162 5862 7743 8793 15486 17586 23229 26379 28333 46458 52758 56666 69687 84999 86953 139374 169998 173906 254997 260859 509994 521718 764991 782577 1529982 1565154 2347731 2521637 4695462 5043274 7564911 15129822 22694733 45389466 68084199 136168398