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412380150 = 235271330211
BaseRepresentation
bin11000100101000…
…110101111110110
31001201222002012220
4120211012233312
51321032131100
6104530423210
713135113330
oct3045065766
91051862186
10412380150
111a1861346
12b6131b06
1367587630
143caa8450
152630baa0
hex18946bf6

412380150 has 96 divisors (see below), whose sum is σ = 1258752768. Its totient is φ = 87004800.

The previous prime is 412380127. The next prime is 412380167. The reversal of 412380150 is 51083214.

It is a super-2 number, since 2×4123801502 = 340114776228045000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 412380150.

It is a congruent number.

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, 1456 + ... + 28755.

It is an arithmetic number, because the mean of its divisors is an integer number (13112008).

Almost surely, 2412380150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412380150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629376384).

412380150 is an abundant number, since it is smaller than the sum of its proper divisors (846372618).

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

412380150 is a wasteful number, since it uses less digits than its factorization.

412380150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30246 (or 30241 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 412380150 is about 20307.1452942062. The cubic root of 412380150 is about 744.3306752125.

The spelling of 412380150 in words is "four hundred twelve million, three hundred eighty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 50 65 70 75 78 91 105 130 150 175 182 195 210 273 325 350 390 455 525 546 650 910 975 1050 1365 1950 2275 2730 4550 6825 13650 30211 60422 90633 151055 181266 211477 302110 392743 422954 453165 634431 755275 785486 906330 1057385 1178229 1268862 1510550 1963715 2114770 2265825 2356458 2749201 3172155 3927430 4531650 5286925 5498402 5891145 6344310 8247603 9818575 10573850 11782290 13746005 15860775 16495206 19637150 27492010 29455725 31721550 41238015 58911450 68730025 82476030 137460050 206190075 412380150