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150380360 = 23513289193
BaseRepresentation
bin10001111011010…
…01111101001000
3101110222010001222
420331221331020
5301444132420
622531101212
73504132464
oct1075517510
9343863058
10150380360
1177981a99
1242441808
1325203080
1415d874a4
15d307225
hex8f69f48

150380360 has 32 divisors (see below), whose sum is σ = 364384440. Its totient is φ = 55524864.

The previous prime is 150380353. The next prime is 150380369. The reversal of 150380360 is 63083051.

150380360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 109956196 + 40424164 = 10486^2 + 6358^2 .

It is a super-2 number, since 2×1503803602 = 45228505347459200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (150380369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144077 + ... + 145116.

Almost surely, 2150380360 is an apocalyptic number.

150380360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150380360 is an abundant number, since it is smaller than the sum of its proper divisors (214004080).

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

150380360 is a wasteful number, since it uses less digits than its factorization.

150380360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289217 (or 289213 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 150380360 is about 12262.9670145524. The cubic root of 150380360 is about 531.7780086492.

The spelling of 150380360 in words is "one hundred fifty million, three hundred eighty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 289193 578386 1156772 1445965 2313544 2891930 3759509 5783860 7519018 11567720 15038036 18797545 30076072 37595090 75190180 150380360