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150692080 = 245711171439
BaseRepresentation
bin10001111101101…
…10000011110000
3101111112221200011
420332312003300
5302034121310
622541504304
73506601340
oct1076660360
9344487604
10150692080
1178075210
1242572094
13252b1c16
1416028d20
15d36978a
hex8fb60f0

150692080 has 160 divisors (see below), whose sum is σ = 462827520. Its totient is φ = 44175360.

The previous prime is 150692071. The next prime is 150692089. The reversal of 150692080 is 80296051.

150692080 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 (150692071) and next prime (150692089).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150692089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104001 + ... + 105439.

It is an arithmetic number, because the mean of its divisors is an integer number (2892672).

Almost surely, 2150692080 is an apocalyptic number.

150692080 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 150692080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231413760).

150692080 is an abundant number, since it is smaller than the sum of its proper divisors (312135440).

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

150692080 is a wasteful number, since it uses less digits than its factorization.

150692080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 150692080 is about 12275.6702464672. The cubic root of 150692080 is about 532.1451918709.

The spelling of 150692080 in words is "one hundred fifty million, six hundred ninety-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 17 20 22 28 34 35 40 44 55 56 68 70 77 80 85 88 110 112 119 136 140 154 170 176 187 220 238 272 280 308 340 374 385 440 476 560 595 616 680 748 770 880 935 952 1190 1232 1309 1360 1439 1496 1540 1870 1904 2380 2618 2878 2992 3080 3740 4760 5236 5756 6160 6545 7195 7480 9520 10073 10472 11512 13090 14390 14960 15829 20146 20944 23024 24463 26180 28780 31658 40292 48926 50365 52360 57560 63316 79145 80584 97852 100730 104720 110803 115120 122315 126632 158290 161168 171241 195704 201460 221606 244630 253264 269093 316580 342482 391408 402920 443212 489260 538186 554015 633160 684964 805840 856205 886424 978520 1076372 1108030 1266320 1345465 1369928 1712410 1772848 1883651 1957040 2152744 2216060 2690930 2739856 3424820 3767302 4305488 4432120 5381860 6849640 7534604 8864240 9418255 10763720 13699280 15069208 18836510 21527440 30138416 37673020 75346040 150692080