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150151020 = 22354167911
BaseRepresentation
bin10001111001100…
…01111101101100
3101110112110110220
420330301331230
5301414313040
622522131340
73502156035
oct1074617554
9343473426
10150151020
1177835758
1242350b50
1325152876
1415d27a8c
15d2ae2d0
hex8f31f6c

150151020 has 96 divisors (see below), whose sum is σ = 437584896. Its totient is φ = 38438400.

The previous prime is 150151019. The next prime is 150151037. The reversal of 150151020 is 20151051.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164365 + ... + 165275.

It is an arithmetic number, because the mean of its divisors is an integer number (4558176).

Almost surely, 2150151020 is an apocalyptic number.

150151020 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 150151020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218792448).

150151020 is an abundant number, since it is smaller than the sum of its proper divisors (287433876).

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

150151020 is a wasteful number, since it uses less digits than its factorization.

150151020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 150151020 is about 12253.6125285566. The cubic root of 150151020 is about 531.5075388904.

The spelling of 150151020 in words is "one hundred fifty million, one hundred fifty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 67 82 123 134 164 201 205 246 268 335 402 410 492 615 670 804 820 911 1005 1230 1340 1822 2010 2460 2733 2747 3644 4020 4555 5466 5494 8241 9110 10932 10988 13665 13735 16482 18220 27330 27470 32964 37351 41205 54660 54940 61037 74702 82410 112053 122074 149404 164820 183111 186755 224106 244148 305185 366222 373510 448212 560265 610370 732444 747020 915555 1120530 1220740 1831110 2241060 2502517 3662220 5005034 7507551 10010068 12512585 15015102 25025170 30030204 37537755 50050340 75075510 150151020