Search a number
-
+
150907232 = 25717231723
BaseRepresentation
bin10001111111010…
…10100101100000
3101111221212210202
420333222211200
5302113012412
622550244332
73511455530
oct1077524540
9344855722
10150907232
1178201923
12426566a8
1325358b28
14160834c0
15d3ad3c2
hex8fea960

150907232 has 96 divisors (see below), whose sum is σ = 375363072. Its totient is φ = 58189824.

The previous prime is 150907223. The next prime is 150907241. The reversal of 150907232 is 232709051.

150907232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (150907223) and next prime (150907241).

It is a junction number, because it is equal to n+sod(n) for n = 150907195 and 150907204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86723 + ... + 88445.

It is an arithmetic number, because the mean of its divisors is an integer number (3910032).

Almost surely, 2150907232 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 150907232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187681536).

150907232 is an abundant number, since it is smaller than the sum of its proper divisors (224455840).

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

150907232 is a wasteful number, since it uses less digits than its factorization.

150907232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 150907232 is about 12284.4304711289. The cubic root of 150907232 is about 532.3983298293.

It can be divided in two parts, 15090 and 7232, that added together give a palindrome (22322).

The spelling of 150907232 in words is "one hundred fifty million, nine hundred seven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 23 28 32 34 46 56 68 92 112 119 136 161 184 224 238 272 322 368 391 476 544 644 736 782 952 1288 1564 1723 1904 2576 2737 3128 3446 3808 5152 5474 6256 6892 10948 12061 12512 13784 21896 24122 27568 29291 39629 43792 48244 55136 58582 79258 87584 96488 117164 158516 192976 205037 234328 277403 317032 385952 410074 468656 554806 634064 673693 820148 937312 1109612 1268128 1347386 1640296 2219224 2694772 3280592 4438448 4715851 5389544 6561184 8876896 9431702 10779088 18863404 21558176 37726808 75453616 150907232