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150206100 = 2235211231979
BaseRepresentation
bin10001111001111…
…11011010010100
3101110122021000220
420330333122110
5301423043400
622523234340
73502505442
oct1074773224
9343567026
10150206100
1177873080
12423789b0
1325171965
1415d3db92
15d2c07a0
hex8f3f694

150206100 has 144 divisors (see below), whose sum is σ = 494968320. Its totient is φ = 34812800.

The previous prime is 150206099. The next prime is 150206107. The reversal of 150206100 is 1602051.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 150206100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150206107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74911 + ... + 76889.

It is an arithmetic number, because the mean of its divisors is an integer number (3437280).

Almost surely, 2150206100 is an apocalyptic number.

150206100 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 150206100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247484160).

150206100 is an abundant number, since it is smaller than the sum of its proper divisors (344762220).

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

150206100 is a wasteful number, since it uses less digits than its factorization.

150206100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 150206100 is about 12255.8598229582. The cubic root of 150206100 is about 531.5725220349.

Adding to 150206100 its reverse (1602051), we get a palindrome (151808151).

The spelling of 150206100 in words is "one hundred fifty million, two hundred six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 25 30 33 44 46 50 55 60 66 69 75 92 100 110 115 132 138 150 165 220 230 253 275 276 300 330 345 460 506 550 575 660 690 759 825 1012 1100 1150 1265 1380 1518 1650 1725 1979 2300 2530 3036 3300 3450 3795 3958 5060 5937 6325 6900 7590 7916 9895 11874 12650 15180 18975 19790 21769 23748 25300 29685 37950 39580 43538 45517 49475 59370 65307 75900 87076 91034 98950 108845 118740 130614 136551 148425 182068 197900 217690 227585 261228 273102 296850 326535 435380 455170 500687 544225 546204 593700 653070 682755 910340 1001374 1088450 1137925 1306140 1365510 1502061 1632675 2002748 2176900 2275850 2503435 2731020 3004122 3265350 3413775 4551700 5006870 6008244 6530700 6827550 7510305 10013740 12517175 13655100 15020610 25034350 30041220 37551525 50068700 75103050 150206100