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150035550 = 235272137149
BaseRepresentation
bin10001111000101…
…01110001011110
3101110022121002020
420330111301132
5301402114200
622515441010
73501165300
oct1074256136
9343277066
10150035550
1177766a25
12422b6166
1325112142
1415cd7970
15d289ea0
hex8f15c5e

150035550 has 144 divisors (see below), whose sum is σ = 438922800. Its totient is φ = 33815040.

The previous prime is 150035521. The next prime is 150035551. The reversal of 150035550 is 55530051.

It is a self number, because there is not a number n which added to its sum of digits gives 150035550.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150035551) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1006876 + ... + 1007024.

It is an arithmetic number, because the mean of its divisors is an integer number (3048075).

Almost surely, 2150035550 is an apocalyptic number.

150035550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150035550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219461400).

150035550 is an abundant number, since it is smaller than the sum of its proper divisors (288887250).

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

150035550 is a wasteful number, since it uses less digits than its factorization.

150035550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1875, while the sum is 24.

The square root of 150035550 is about 12248.8999506078. The cubic root of 150035550 is about 531.3712562892.

The spelling of 150035550 in words is "one hundred fifty million, thirty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 137 147 149 150 175 210 245 274 294 298 350 411 447 490 525 685 735 745 822 894 959 1043 1050 1225 1370 1470 1490 1918 2055 2086 2235 2450 2877 3129 3425 3675 3725 4110 4470 4795 5215 5754 6258 6713 6850 7301 7350 7450 9590 10275 10430 11175 13426 14385 14602 15645 20139 20413 20550 21903 22350 23975 26075 28770 31290 33565 36505 40278 40826 43806 47950 52150 61239 67130 71925 73010 78225 100695 102065 109515 122478 142891 143850 156450 167825 182525 201390 204130 219030 285782 306195 335650 365050 428673 503475 510325 547575 612390 714455 857346 1000237 1006950 1020650 1095150 1428910 1530975 2000474 2143365 3000711 3061950 3572275 4286730 5001185 6001422 7144550 10002370 10716825 15003555 21433650 25005925 30007110 50011850 75017775 150035550