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150127080 = 23358315073
BaseRepresentation
bin10001111001011…
…00000111101000
3101110111020122020
420330230013220
5301413031310
622521424440
73502026165
oct1074540750
9343436566
10150127080
1177819774
124233b120
13251449bc
1415d1d06c
15d2a7170
hex8f2c1e8

150127080 has 64 divisors (see below), whose sum is σ = 455837760. Its totient is φ = 39548928.

The previous prime is 150127073. The next prime is 150127123. The reversal of 150127080 is 80721051.

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

It is a self number, because there is not a number n which added to its sum of digits gives 150127080.

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 15 ways as a sum of consecutive naturals, for example, 2424 + ... + 17496.

It is an arithmetic number, because the mean of its divisors is an integer number (7122465).

Almost surely, 2150127080 is an apocalyptic number.

150127080 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 150127080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227918880).

150127080 is an abundant number, since it is smaller than the sum of its proper divisors (305710680).

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

150127080 is a wasteful number, since it uses less digits than its factorization.

150127080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15170 (or 15166 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 150127080 is about 12252.6356348338. The cubic root of 150127080 is about 531.4792896278.

The spelling of 150127080 in words is "one hundred fifty million, one hundred twenty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 15073 30146 45219 60292 75365 90438 120584 150730 180876 226095 301460 361752 452190 602920 904380 1251059 1808760 2502118 3753177 5004236 6255295 7506354 10008472 12510590 15012708 18765885 25021180 30025416 37531770 50042360 75063540 150127080