Search a number
-
+
150724720 = 24517192307
BaseRepresentation
bin10001111101111…
…10000001110000
3101111121121110001
420332332001300
5302041142340
622542315344
73510065446
oct1076760160
9344547401
10150724720
1178097793
1242588b54
13252c3a33
1416036b96
15d37429a
hex8fbe070

150724720 has 120 divisors (see below), whose sum is σ = 392881104. Its totient is φ = 53581824.

The previous prime is 150724699. The next prime is 150724751. The reversal of 150724720 is 27427051.

150724720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 490807 + ... + 491113.

Almost surely, 2150724720 is an apocalyptic number.

150724720 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 150724720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196440552).

150724720 is an abundant number, since it is smaller than the sum of its proper divisors (242156384).

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

150724720 is a wasteful number, since it uses less digits than its factorization.

150724720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 150724720 is about 12276.9996334609. Note that the first 3 decimals coincide. The cubic root of 150724720 is about 532.1836100924.

The spelling of 150724720 in words is "one hundred fifty million, seven hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 136 152 170 190 272 304 307 323 340 361 380 614 646 680 722 760 1228 1292 1360 1444 1520 1535 1615 1805 2456 2584 2888 3070 3230 3610 4912 5168 5219 5776 5833 6137 6140 6460 7220 10438 11666 12274 12280 12920 14440 20876 23332 24548 24560 25840 26095 28880 29165 30685 41752 46664 49096 52190 58330 61370 83504 93328 98192 99161 104380 110827 116660 122740 198322 208760 221654 233320 245480 396644 417520 443308 466640 490960 495805 554135 793288 886616 991610 1108270 1586576 1773232 1884059 1983220 2216540 3768118 3966440 4433080 7536236 7932880 8866160 9420295 15072472 18840590 30144944 37681180 75362360 150724720