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1020399636 = 2231719416421
BaseRepresentation
bin111100110100100…
…001000000010100
32122010001200011010
4330310201000110
54042210242021
6245130412220
734200153024
oct7464410024
92563050133
101020399636
11483a97393
12245891070
13133530489
149973ba84
155e8b0976
hex3cd21014

1020399636 has 96 divisors (see below), whose sum is σ = 2718817920. Its totient is φ = 295833600.

The previous prime is 1020399613. The next prime is 1020399659. The reversal of 1020399636 is 6369930201.

It is an interprime number because it is at equal distance from previous prime (1020399613) and next prime (1020399659).

It is a junction number, because it is equal to n+sod(n) for n = 1020399594 and 1020399603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155706 + ... + 162126.

It is an arithmetic number, because the mean of its divisors is an integer number (28321020).

Almost surely, 21020399636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020399636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359408960).

1020399636 is an abundant number, since it is smaller than the sum of its proper divisors (1698418284).

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

1020399636 is a wasteful number, since it uses less digits than its factorization.

1020399636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6505 (or 6503 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 1020399636 is about 31943.6947769039. The cubic root of 1020399636 is about 1006.7541573204.

The spelling of 1020399636 in words is "one billion, twenty million, three hundred ninety-nine thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 19 34 38 41 51 57 68 76 82 102 114 123 164 204 228 246 323 492 646 697 779 969 1292 1394 1558 1938 2091 2337 2788 3116 3876 4182 4674 6421 8364 9348 12842 13243 19263 25684 26486 38526 39729 52972 77052 79458 109157 121999 158916 218314 243998 263261 327471 365997 436628 487996 526522 654942 731994 789783 1053044 1309884 1463988 1579566 2073983 3159132 4147966 4475437 5001959 6221949 8295932 8950874 10003918 12443898 13426311 15005877 17901748 20007836 24887796 26852622 30011754 53705244 60023508 85033303 170066606 255099909 340133212 510199818 1020399636