Search a number
-
+
151440 = 2435631
BaseRepresentation
bin100100111110010000
321200201220
4210332100
514321230
63125040
71200342
oct447620
9250656
10151440
11a3863
1273780
1353c13
143d292
152ed10
hex24f90

151440 has 40 divisors (see below), whose sum is σ = 470208. Its totient is φ = 40320.

The previous prime is 151433. The next prime is 151451. The reversal of 151440 is 44151.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 151440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76 + ... + 555.

2151440 is an apocalyptic number.

151440 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 151440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235104).

151440 is an abundant number, since it is smaller than the sum of its proper divisors (318768).

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

151440 is a wasteful number, since it uses less digits than its factorization.

151440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 151440 is about 389.1529262385. The cubic root of 151440 is about 53.3024126323.

Adding to 151440 its reverse (44151), we get a palindrome (195591).

The spelling of 151440 in words is "one hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 631 1262 1893 2524 3155 3786 5048 6310 7572 9465 10096 12620 15144 18930 25240 30288 37860 50480 75720 151440