Search a number
-
+
3920136 = 2331131479
BaseRepresentation
bin1110111101000100001000
321101011102020
432331010020
52000421021
6220004440
745214653
oct16750410
97334366
103920136
112238290
121390720
13a7340c
1474089a
155267c6
hex3bd108

3920136 has 64 divisors (see below), whose sum is σ = 11059200. Its totient is φ = 1147200.

The previous prime is 3920131. The next prime is 3920141. The reversal of 3920136 is 6310293.

It is an interprime number because it is at equal distance from previous prime (3920131) and next prime (3920141).

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

It is not an unprimeable number, because it can be changed into a prime (3920131) 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, 7945 + ... + 8423.

It is an arithmetic number, because the mean of its divisors is an integer number (172800).

Almost surely, 23920136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3920136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529600).

3920136 is an abundant number, since it is smaller than the sum of its proper divisors (7139064).

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

3920136 is a wasteful number, since it uses less digits than its factorization.

3920136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 3920136 is about 1979.9333322110. The cubic root of 3920136 is about 157.6765266900.

The spelling of 3920136 in words is "three million, nine hundred twenty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 479 682 744 958 1023 1364 1437 1916 2046 2728 2874 3832 4092 5269 5748 8184 10538 11496 14849 15807 21076 29698 31614 42152 44547 59396 63228 89094 118792 126456 163339 178188 326678 356376 490017 653356 980034 1306712 1960068 3920136