Search a number
-
+
150061800 = 23352735729
BaseRepresentation
bin10001111000111…
…00001011101000
3101110100221002110
420330130023220
5301403434200
622520202320
73501334650
oct1074341350
9343327073
10150061800
1177784719
12423093a0
1325121085
1415d03360
15d292b50
hex8f1c2e8

150061800 has 96 divisors (see below), whose sum is σ = 531662400. Its totient is φ = 34298880.

The previous prime is 150061799. The next prime is 150061811. The reversal of 150061800 is 8160051.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13665 + ... + 22064.

It is an arithmetic number, because the mean of its divisors is an integer number (5538150).

Almost surely, 2150061800 is an apocalyptic number.

150061800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150061800 is an abundant number, since it is smaller than the sum of its proper divisors (381600600).

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

150061800 is a wasteful number, since it uses less digits than its factorization.

150061800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35755 (or 35746 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 150061800 is about 12249.9714285381. The cubic root of 150061800 is about 531.4022437942.

The spelling of 150061800 in words is "one hundred fifty million, sixty-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 35729 71458 107187 142916 178645 214374 250103 285832 357290 428748 500206 535935 714580 750309 857496 893225 1000412 1071870 1250515 1429160 1500618 1786450 2000824 2143740 2501030 2679675 3001236 3572900 3751545 4287480 5002060 5359350 6002472 6252575 7145800 7503090 10004120 10718700 12505150 15006180 18757725 21437400 25010300 30012360 37515450 50020600 75030900 150061800