Search a number
-
+
150305360 = 2453160607
BaseRepresentation
bin10001111010101…
…11101001010000
3101110211022012012
420331113221100
5301434232420
622525322052
73503401022
oct1075275120
9343738165
10150305360
1177930707
1242406328
13251a7baa
1415d68012
15d2dedc5
hex8f57a50

150305360 has 40 divisors (see below), whose sum is σ = 360738816. Its totient is φ = 58181760.

The previous prime is 150305357. The next prime is 150305369. The reversal of 150305360 is 63503051.

150305360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150305369) 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, 27824 + ... + 32783.

Almost surely, 2150305360 is an apocalyptic number.

150305360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150305360 is an abundant number, since it is smaller than the sum of its proper divisors (210433456).

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

150305360 is a wasteful number, since it uses less digits than its factorization.

150305360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60651 (or 60645 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 150305360 is about 12259.9086456629. The cubic root of 150305360 is about 531.6895884528.

The spelling of 150305360 in words is "one hundred fifty million, three hundred five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 60607 121214 242428 303035 484856 606070 969712 1212140 1878817 2424280 3757634 4848560 7515268 9394085 15030536 18788170 30061072 37576340 75152680 150305360