Search a number
-
+
150660104 = 2372292457
BaseRepresentation
bin10001111101011…
…10010000001000
3101111111022210212
420332232100020
5302032110404
622541100252
73506406200
oct1076562010
9344438725
10150660104
1178053191
1242557688
13252a04ba
141601b400
15d36006e
hex8fae408

150660104 has 72 divisors (see below), whose sum is σ = 341074890. Its totient is φ = 62205696.

The previous prime is 150660091. The next prime is 150660131. The reversal of 150660104 is 401066051.

It can be written as a sum of positive squares in 3 ways, for example, as 146652100 + 4008004 = 12110^2 + 2002^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 150660104.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 329444 + ... + 329900.

Almost surely, 2150660104 is an apocalyptic number.

150660104 is a gapful number since it is divisible by the number (14) 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 150660104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170537445).

150660104 is an abundant number, since it is smaller than the sum of its proper divisors (190414786).

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

150660104 is a wasteful number, since it uses less digits than its factorization.

150660104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 150660104 is about 12274.3677637588. The cubic root of 150660104 is about 532.1075498166.

The spelling of 150660104 in words is "one hundred fifty million, six hundred sixty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 457 812 841 914 1421 1624 1682 1828 2842 3199 3364 3656 5684 5887 6398 6728 11368 11774 12796 13253 22393 23548 25592 26506 41209 44786 47096 53012 82418 89572 92771 106024 164836 179144 185542 329672 371084 384337 649397 742168 768674 1298794 1537348 2597588 2690359 3074696 5195176 5380718 10761436 18832513 21522872 37665026 75330052 150660104