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150248340 = 223251175883
BaseRepresentation
bin10001111010010…
…01101110010100
3101110201101222100
420331021232110
5301430421330
622524202100
73503042544
oct1075115624
9343641870
10150248340
11778a1890
1242399330
1325187c58
1415d51324
15d2cd060
hex8f49b94

150248340 has 72 divisors (see below), whose sum is σ = 497191968. Its totient is φ = 36423360.

The previous prime is 150248327. The next prime is 150248341. The reversal of 150248340 is 43842051.

150248340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150248341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35962 + ... + 39921.

It is an arithmetic number, because the mean of its divisors is an integer number (6905444).

Almost surely, 2150248340 is an apocalyptic number.

150248340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150248340 is an abundant number, since it is smaller than the sum of its proper divisors (346943628).

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

150248340 is a wasteful number, since it uses less digits than its factorization.

150248340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75909 (or 75904 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 150248340 is about 12257.5829591319. The cubic root of 150248340 is about 531.6223458412.

The spelling of 150248340 in words is "one hundred fifty million, two hundred forty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 75883 151766 227649 303532 379415 455298 682947 758830 834713 910596 1138245 1365894 1517660 1669426 2276490 2504139 2731788 3338852 3414735 4173565 4552980 5008278 6829470 7512417 8347130 10016556 12520695 13658940 15024834 16694260 25041390 30049668 37562085 50082780 75124170 150248340