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150055020 = 223254717737
BaseRepresentation
bin10001111000110…
…10100001101100
3101110100120210100
420330122201230
5301403230040
622520111100
73501306123
oct1074324154
9343316710
10150055020
117777a615
1242305490
132511ac6b
1415d00aba
15d290b30
hex8f1a86c

150055020 has 72 divisors (see below), whose sum is σ = 464877504. Its totient is φ = 39161088.

The previous prime is 150055007. The next prime is 150055033. The reversal of 150055020 is 20550051.

It is an interprime number because it is at equal distance from previous prime (150055007) and next prime (150055033).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 150054984 and 150055002.

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 23 ways as a sum of consecutive naturals, for example, 409 + ... + 17328.

It is an arithmetic number, because the mean of its divisors is an integer number (6456632).

Almost surely, 2150055020 is an apocalyptic number.

150055020 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 150055020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232438752).

150055020 is an abundant number, since it is smaller than the sum of its proper divisors (314822484).

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

150055020 is a wasteful number, since it uses less digits than its factorization.

150055020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17799 (or 17794 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 150055020 is about 12249.6946900729. The cubic root of 150055020 is about 531.3942405105.

The spelling of 150055020 in words is "one hundred fifty million, fifty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 8460 17737 35474 53211 70948 88685 106422 159633 177370 212844 266055 319266 354740 532110 638532 798165 833639 1064220 1596330 1667278 2500917 3192660 3334556 4168195 5001834 7502751 8336390 10003668 12504585 15005502 16672780 25009170 30011004 37513755 50018340 75027510 150055020