Search a number
-
+
150655560 = 233511196007
BaseRepresentation
bin10001111101011…
…01001001001000
3101111111002120120
420332231021020
5302031434220
622541023240
73506360016
oct1076551110
9344432516
10150655560
117804a830
1242554b20
132529b403
14160198b6
15d35da40
hex8fad248

150655560 has 128 divisors (see below), whose sum is σ = 519091200. Its totient is φ = 34594560.

The previous prime is 150655523. The next prime is 150655573. The reversal of 150655560 is 65556051.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 22077 + ... + 28083.

It is an arithmetic number, because the mean of its divisors is an integer number (4055400).

Almost surely, 2150655560 is an apocalyptic number.

150655560 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 150655560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259545600).

150655560 is an abundant number, since it is smaller than the sum of its proper divisors (368435640).

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

150655560 is a wasteful number, since it uses less digits than its factorization.

150655560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6051 (or 6047 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The square root of 150655560 is about 12274.1826611795. The cubic root of 150655560 is about 532.1022002008.

The spelling of 150655560 in words is "one hundred fifty million, six hundred fifty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 836 1045 1140 1254 1320 1672 2090 2280 2508 3135 4180 5016 6007 6270 8360 12014 12540 18021 24028 25080 30035 36042 48056 60070 66077 72084 90105 114133 120140 132154 144168 180210 198231 228266 240280 264308 330385 342399 360420 396462 456532 528616 570665 660770 684798 720840 792924 913064 991155 1141330 1255463 1321540 1369596 1585848 1711995 1982310 2282660 2510926 2643080 2739192 3423990 3766389 3964620 4565320 5021852 6277315 6847980 7532778 7929240 10043704 12554630 13695960 15065556 18831945 25109260 30131112 37663890 50218520 75327780 150655560