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150322068 = 22341389401
BaseRepresentation
bin10001111010110…
…11101110010100
3101110212011010000
420331123232110
5301440301233
622525531300
73503500521
oct1075335624
9343764100
10150322068
1177942216
1242413b30
13251b2690
1415d70148
15d2e4d13
hex8f5bb94

150322068 has 120 divisors (see below), whose sum is σ = 429022440. Its totient is φ = 45619200.

The previous prime is 150322033. The next prime is 150322079. The reversal of 150322068 is 860223051.

It can be written as a sum of positive squares in 4 ways, for example, as 20088324 + 130233744 = 4482^2 + 11412^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 374668 + ... + 375068.

It is an arithmetic number, because the mean of its divisors is an integer number (3575187).

Almost surely, 2150322068 is an apocalyptic number.

150322068 is a gapful number since it is divisible by the number (18) 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 150322068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214511220).

150322068 is an abundant number, since it is smaller than the sum of its proper divisors (278700372).

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

150322068 is a wasteful number, since it uses less digits than its factorization.

150322068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 150322068 is about 12260.5900347414. The cubic root of 150322068 is about 531.7092886607.

The spelling of 150322068 in words is "one hundred fifty million, three hundred twenty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 89 108 117 156 162 178 234 267 324 351 356 401 468 534 702 801 802 1053 1068 1157 1203 1404 1602 1604 2106 2314 2403 2406 3204 3471 3609 4212 4628 4806 4812 5213 6942 7209 7218 9612 10413 10426 10827 13884 14418 14436 15639 20826 20852 21654 28836 31239 31278 32481 35689 41652 43308 46917 62478 62556 64962 71378 93717 93834 107067 124956 129924 140751 142756 187434 187668 214134 281502 321201 374868 422253 428268 463957 563004 642402 844506 927914 963603 1284804 1391871 1689012 1855828 1927206 2783742 2890809 3854412 4175613 5567484 5781618 8351226 11563236 12526839 16702452 25053678 37580517 50107356 75161034 150322068