Search a number
-
+
150480600 = 233521714753
BaseRepresentation
bin10001111100000…
…10011011011000
3101111011012120120
420332002123120
5302010334400
622533153240
73505030644
oct1076023330
9344135516
10150480600
1177a40336
124248b820
132523989a
1415db1c24
15d326ca0
hex8f826d8

150480600 has 96 divisors (see below), whose sum is σ = 493963920. Its totient is φ = 37765120.

The previous prime is 150480599. The next prime is 150480601. The reversal of 150480600 is 6084051.

It is an interprime number because it is at equal distance from previous prime (150480599) and next prime (150480601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150480601) by changing a digit.

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, 2824 + ... + 17576.

Almost surely, 2150480600 is an apocalyptic number.

150480600 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 150480600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246981960).

150480600 is an abundant number, since it is smaller than the sum of its proper divisors (343483320).

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

150480600 is a wasteful number, since it uses less digits than its factorization.

150480600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14789 (or 14780 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 150480600 is about 12267.0534359315. The cubic root of 150480600 is about 531.8961392968.

The spelling of 150480600 in words is "one hundred fifty million, four hundred eighty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 14753 29506 44259 59012 73765 88518 118024 147530 177036 221295 250801 295060 354072 368825 442590 501602 590120 737650 752403 885180 1003204 1106475 1254005 1475300 1504806 1770360 2006408 2212950 2508010 2950600 3009612 3762015 4425900 5016020 6019224 6270025 7524030 8851800 10032040 12540050 15048060 18810075 25080100 30096120 37620150 50160200 75240300 150480600