Search a number
-
+
151354242 = 232134011613
BaseRepresentation
bin10010000010101…
…11101110000010
3101112210120222200
421001113232002
5302221313432
623004014030
73515330004
oct1101275602
9345716880
10151354242
1178487756
1242831316
1325484430
141615c374
15d44aa7c
hex9057b82

151354242 has 48 divisors (see below), whose sum is σ = 354260088. Its totient is φ = 46425600.

The previous prime is 151354223. The next prime is 151354249. The reversal of 151354242 is 242453151.

It can be written as a sum of positive squares in 4 ways, for example, as 146385801 + 4968441 = 12099^2 + 2229^2 .

It is not an unprimeable number, because it can be changed into a prime (151354249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93028 + ... + 94640.

Almost surely, 2151354242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151354242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177130044).

151354242 is an abundant number, since it is smaller than the sum of its proper divisors (202905846).

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

151354242 is a wasteful number, since it uses less digits than its factorization.

151354242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2032 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 151354242 is about 12302.6111862482. The cubic root of 151354242 is about 532.9234930380.

It can be divided in two parts, 1513 and 54242, that added together give a palindrome (55755).

The spelling of 151354242 in words is "one hundred fifty-one million, three hundred fifty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 401 802 1203 1613 2406 3226 3609 4839 5213 7218 9678 10426 14517 15639 20969 29034 31278 41938 46917 62907 93834 125814 188721 377442 646813 1293626 1940439 3880878 5821317 8408569 11642634 16817138 25225707 50451414 75677121 151354242