Search a number
-
+
150059364 = 223721367293
BaseRepresentation
bin10001111000110…
…11100101100100
3101110100210202020
420330123211210
5301403344424
622520143140
73501324600
oct1074334544
9343323666
10150059364
1177782904
1242307ab0
132511cc30
1415d02500
15d292079
hex8f1b964

150059364 has 144 divisors (see below), whose sum is σ = 446701248. Its totient is φ = 38852352.

The previous prime is 150059347. The next prime is 150059381. The reversal of 150059364 is 463950051.

It is a happy number.

150059364 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 (150059347) and next prime (150059381).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512002 + ... + 512294.

It is an arithmetic number, because the mean of its divisors is an integer number (3102092).

Almost surely, 2150059364 is an apocalyptic number.

150059364 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 150059364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223350624).

150059364 is an abundant number, since it is smaller than the sum of its proper divisors (296641884).

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

150059364 is a wasteful number, since it uses less digits than its factorization.

150059364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 150059364 is about 12249.8719993313. The cubic root of 150059364 is about 531.3993683059.

The spelling of 150059364 in words is "one hundred fifty million, fifty-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 67 78 84 91 98 134 147 156 182 196 201 268 273 293 294 364 402 469 546 586 588 637 804 871 879 938 1092 1172 1274 1407 1742 1758 1876 1911 2051 2548 2613 2814 3283 3484 3516 3809 3822 4102 5226 5628 6097 6153 6566 7618 7644 8204 9849 10452 11427 12194 12306 13132 14357 15236 18291 19631 19698 22854 24388 24612 26663 28714 36582 39262 39396 42679 43071 45708 53326 57428 58893 73164 78524 79989 85358 86142 106652 117786 128037 137417 159978 170716 172284 186641 235572 255203 256074 274834 319956 373282 412251 510406 512148 549668 559923 746564 765609 824502 961919 1020812 1119846 1531218 1649004 1786421 1923838 2239692 2885757 3062436 3572842 3847676 5359263 5771514 7145684 10718526 11543028 12504947 21437052 25009894 37514841 50019788 75029682 150059364