Search a number
-
+
151138404 = 223253113701
BaseRepresentation
bin10010000001000…
…11000001100100
3101112101121220200
421000203001210
5302142412104
622555230500
73513440514
oct1100430144
9345347820
10151138404
117834a57a
1242748430
132540a111
1416103844
15d406b39
hex9023064

151138404 has 72 divisors (see below), whose sum is σ = 393257592. Its totient is φ = 48921600.

The previous prime is 151138387. The next prime is 151138411. The reversal of 151138404 is 404831151.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21178404 + 129960000 = 4602^2 + 11400^2 .

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, 215254 + ... + 215954.

It is an arithmetic number, because the mean of its divisors is an integer number (5461911).

Almost surely, 2151138404 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 151138404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196628796).

151138404 is an abundant number, since it is smaller than the sum of its proper divisors (242119188).

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

151138404 is a wasteful number, since it uses less digits than its factorization.

151138404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 151138404 is about 12293.8360164759. The cubic root of 151138404 is about 532.6700481840.

Adding to 151138404 its reverse (404831151), we get a palindrome (555969555).

The spelling of 151138404 in words is "one hundred fifty-one million, one hundred thirty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 113 159 212 226 318 339 452 477 636 678 701 954 1017 1356 1402 1908 2034 2103 2804 4068 4206 5989 6309 8412 11978 12618 17967 23956 25236 35934 37153 53901 71868 74306 79213 107802 111459 148612 158426 215604 222918 237639 316852 334377 445836 475278 668754 712917 950556 1337508 1425834 2851668 4198289 8396578 12594867 16793156 25189734 37784601 50379468 75569202 151138404