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150538200 = 23352376781
BaseRepresentation
bin10001111100100…
…00011111011000
3101111021010120220
420332100133120
5302014210300
622534320040
73505360611
oct1076203730
9344233526
10150538200
1177a7a63a
12424b9020
1325259b77
1415dc8c08
15d338da0
hex8f907d8

150538200 has 96 divisors (see below), whose sum is σ = 479351760. Its totient is φ = 39052800.

The previous prime is 150538189. The next prime is 150538211. The reversal of 150538200 is 2835051.

150538200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (150538189) and next prime (150538211).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18810 + ... + 25590.

Almost surely, 2150538200 is an apocalyptic number.

150538200 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 150538200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239675880).

150538200 is an abundant number, since it is smaller than the sum of its proper divisors (328813560).

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

150538200 is a wasteful number, since it uses less digits than its factorization.

150538200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6837 (or 6828 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 150538200 is about 12269.4009633723. The cubic root of 150538200 is about 531.9639959051.

The spelling of 150538200 in words is "one hundred fifty million, five hundred thirty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2775 3700 4440 5550 6781 7400 11100 13562 20343 22200 27124 33905 40686 54248 67810 81372 101715 135620 162744 169525 203430 250897 271240 339050 406860 501794 508575 678100 752691 813720 1003588 1017150 1254485 1356200 1505382 2007176 2034300 2508970 3010764 3763455 4068600 5017940 6021528 6272425 7526910 10035880 12544850 15053820 18817275 25089700 30107640 37634550 50179400 75269100 150538200