Search a number
-
+
150140192 = 25172931307
BaseRepresentation
bin10001111001011…
…11010100100000
3101110111220121212
420330233110200
5301413441232
622522005252
73502112336
oct1074572440
9343456555
10150140192
1177828604
1242346828
132514a967
1415d23b56
15d2aaeb2
hex8f2f520

150140192 has 96 divisors (see below), whose sum is σ = 335301120. Its totient is φ = 65802240.

The previous prime is 150140183. The next prime is 150140269. The reversal of 150140192 is 291041051.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488903 + ... + 489209.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2150140192 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 150140192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

150140192 is an abundant number, since it is smaller than the sum of its proper divisors (185160928).

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

150140192 is a wasteful number, since it uses less digits than its factorization.

150140192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 150140192 is about 12253.1706917026. The cubic root of 150140192 is about 531.4947621941.

The spelling of 150140192 in words is "one hundred fifty million, one hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 17 29 31 32 34 58 62 68 116 124 136 232 248 272 307 464 493 496 527 544 614 899 928 986 992 1054 1228 1798 1972 2108 2456 3596 3944 4216 4912 5219 7192 7888 8432 8903 9517 9824 10438 14384 15283 15776 16864 17806 19034 20876 28768 30566 35612 38068 41752 61132 71224 76136 83504 122264 142448 151351 152272 161789 167008 244528 275993 284896 302702 304544 323578 489056 551986 605404 647156 1103972 1210808 1294312 2207944 2421616 2588624 4415888 4691881 4843232 5177248 8831776 9383762 18767524 37535048 75070096 150140192