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151003020 = 223571512381
BaseRepresentation
bin10010000000000…
…01111110001100
3101112010202012110
421000001332030
5302124044040
622552304020
73512335020
oct1100017614
9345122173
10151003020
1178267893
12426a2010
13253905cc
14160aa380
15d3cb980
hex9001f8c

151003020 has 96 divisors (see below), whose sum is σ = 486614016. Its totient is φ = 34272000.

The previous prime is 151003019. The next prime is 151003033. The reversal of 151003020 is 20300151.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 151002987 and 151003005.

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, 62230 + ... + 64610.

It is an arithmetic number, because the mean of its divisors is an integer number (5068896).

Almost surely, 2151003020 is an apocalyptic number.

151003020 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 151003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243307008).

151003020 is an abundant number, since it is smaller than the sum of its proper divisors (335610996).

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

151003020 is a wasteful number, since it uses less digits than its factorization.

151003020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 151003020 is about 12288.3286088874. The cubic root of 151003020 is about 532.5109521872.

Adding to 151003020 its reverse (20300151), we get a palindrome (171303171).

The spelling of 151003020 in words is "one hundred fifty-one million, three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 151 210 302 420 453 604 755 906 1057 1510 1812 2114 2265 2381 3020 3171 4228 4530 4762 5285 6342 7143 9060 9524 10570 11905 12684 14286 15855 16667 21140 23810 28572 31710 33334 35715 47620 50001 63420 66668 71430 83335 100002 142860 166670 200004 250005 333340 359531 500010 719062 1000020 1078593 1438124 1797655 2157186 2516717 3595310 4314372 5033434 5392965 7190620 7550151 10066868 10785930 12583585 15100302 21571860 25167170 30200604 37750755 50334340 75501510 151003020