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10059420 = 2235743557
BaseRepresentation
bin100110010111…
…111010011100
3200221001221010
4212113322130
510033400140
6555335220
7151334520
oct46277234
920831833
1010059420
115750878
123451510
132112927
14149bd80
15d3a880
hex997e9c

10059420 has 96 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 2241792.

The previous prime is 10059389. The next prime is 10059443. The reversal of 10059420 is 2495001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 17782 + ... + 18338.

It is an arithmetic number, because the mean of its divisors is an integer number (343728).

Almost surely, 210059420 is an apocalyptic number.

10059420 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 10059420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944).

10059420 is an abundant number, since it is smaller than the sum of its proper divisors (22938468).

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

10059420 is a wasteful number, since it uses less digits than its factorization.

10059420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 10059420 is about 3171.6588719470. The cubic root of 10059420 is about 215.8693482864.

The spelling of 10059420 in words is "ten million, fifty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 557 602 645 860 903 1114 1204 1290 1505 1671 1806 2228 2580 2785 3010 3342 3612 3899 4515 5570 6020 6684 7798 8355 9030 11140 11697 15596 16710 18060 19495 23394 23951 33420 38990 46788 47902 58485 71853 77980 95804 116970 119755 143706 167657 233940 239510 287412 335314 359265 479020 502971 670628 718530 838285 1005942 1437060 1676570 2011884 2514855 3353140 5029710 10059420