Search a number
-
+
151142436 = 22346832
BaseRepresentation
bin10010000001001…
…00000000100100
3101112101211110000
421000210000210
5302143024221
622555301300
73513455334
oct1100440044
9345354400
10151142436
1178352605
124274a830
132540bbc3
14161050c4
15d407e26
hex9024024

151142436 has 45 divisors (see below), whose sum is σ = 395695531. Its totient is φ = 50307048.

The previous prime is 151142423. The next prime is 151142437. The reversal of 151142436 is 634241151.

It is a happy number.

The square root of 151142436 is 12294.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×1511424363 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (151142437) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 220951 + ... + 221633.

Almost surely, 2151142436 is an apocalyptic number.

151142436 is the 12294-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151142436

151142436 is an abundant number, since it is smaller than the sum of its proper divisors (244553095).

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

151142436 is an frugal number, since it uses more digits than its factorization.

151142436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 688 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The cubic root of 151142436 is about 532.6747849165.

Adding to 151142436 its reverse (634241151), we get a palindrome (785383587).

The spelling of 151142436 in words is "one hundred fifty-one million, one hundred forty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 683 1366 2049 2732 4098 6147 8196 12294 18441 24588 36882 55323 73764 110646 221292 466489 932978 1399467 1865956 2798934 4198401 5597868 8396802 12595203 16793604 25190406 37785609 50380812 75571218 151142436