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150405280 = 2552321777
BaseRepresentation
bin10001111011100…
…00000010100000
3101111000101020221
420331300002200
5302000432110
622531412424
73504265234
oct1075600240
9344011227
10150405280
1177999793
1242454114
132521150c
1415d925c4
15d30e7da
hex8f700a0

150405280 has 72 divisors (see below), whose sum is σ = 371662452. Its totient is φ = 57513984.

The previous prime is 150405253. The next prime is 150405293. The reversal of 150405280 is 82504051.

It can be written as a sum of positive squares in 2 ways, for example, as 149719696 + 685584 = 12236^2 + 828^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83752 + ... + 85528.

Almost surely, 2150405280 is an apocalyptic number.

150405280 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 150405280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185831226).

150405280 is an abundant number, since it is smaller than the sum of its proper divisors (221257172).

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

150405280 is a wasteful number, since it uses less digits than its factorization.

150405280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 150405280 is about 12263.9830397795. The cubic root of 150405280 is about 531.8073812261.

The spelling of 150405280 in words is "one hundred fifty million, four hundred five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 529 736 920 1058 1777 1840 2116 2645 3554 3680 4232 5290 7108 8464 8885 10580 14216 16928 17770 21160 28432 35540 40871 42320 56864 71080 81742 84640 142160 163484 204355 284320 326968 408710 653936 817420 940033 1307872 1634840 1880066 3269680 3760132 4700165 6539360 7520264 9400330 15040528 18800660 30081056 37601320 75202640 150405280