Search a number
-
+
136402440 = 23351318677
BaseRepresentation
bin10000010000101…
…01011000001000
3100111122221222020
420020111120020
5234404334230
621311324440
73244254516
oct1010253010
9314587866
10136402440
116aaa5199
1239820720
132234aa05
14141894b6
15be95810
hex8215608

136402440 has 64 divisors (see below), whose sum is σ = 412378560. Its totient is φ = 36092160.

The previous prime is 136402439. The next prime is 136402447. The reversal of 136402440 is 44204631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 136402440.

It is not an unprimeable number, because it can be changed into a prime (136402447) 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, 11382 + ... + 20058.

It is an arithmetic number, because the mean of its divisors is an integer number (6443415).

Almost surely, 2136402440 is an apocalyptic number.

136402440 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 136402440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206189280).

136402440 is an abundant number, since it is smaller than the sum of its proper divisors (275976120).

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

136402440 is a wasteful number, since it uses less digits than its factorization.

136402440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8822 (or 8818 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 136402440 is about 11679.1455166891. The cubic root of 136402440 is about 514.7630669321.

The spelling of 136402440 in words is "one hundred thirty-six million, four hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2620 3144 3930 5240 7860 8677 15720 17354 26031 34708 43385 52062 69416 86770 104124 130155 173540 208248 260310 347080 520620 1041240 1136687 2273374 3410061 4546748 5683435 6820122 9093496 11366870 13640244 17050305 22733740 27280488 34100610 45467480 68201220 136402440