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1020681396 = 2232723229769
BaseRepresentation
bin111100110101100…
…101110010110100
32122010120222122200
4330311211302310
54042243301041
6245140424500
734202435340
oct7465456264
92563528580
101020681396
1148416a049
122459a8130
131335cb7b7
14997b2620
155e9191b6
hex3cd65cb4

1020681396 has 144 divisors (see below), whose sum is σ = 3094291200. Its totient is φ = 277364736.

The previous prime is 1020681353. The next prime is 1020681407. The reversal of 1020681396 is 6931860201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1020681396.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1326900 + ... + 1327668.

Almost surely, 21020681396 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 1020681396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547145600).

1020681396 is an abundant number, since it is smaller than the sum of its proper divisors (2073609804).

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

1020681396 is a wasteful number, since it uses less digits than its factorization.

1020681396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1020681396 is about 31948.1047325190. The cubic root of 1020681396 is about 1006.8468128305.

The spelling of 1020681396 in words is "one billion, twenty million, six hundred eighty-one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 229 252 276 322 414 458 483 644 687 769 828 916 966 1374 1449 1538 1603 1932 2061 2307 2748 2898 3076 3206 4122 4614 4809 5267 5383 5796 6412 6921 8244 9228 9618 10534 10766 13842 14427 15801 16149 17687 19236 21068 21532 27684 28854 31602 32298 35374 36869 47403 48447 53061 57708 63204 64596 70748 73738 94806 96894 106122 110607 123809 147476 159183 176101 189612 193788 212244 221214 247618 318366 331821 352202 371427 442428 495236 528303 636732 663642 704404 742854 1056606 1114281 1232707 1327284 1485708 1584909 2113212 2228562 2465414 3169818 3698121 4050323 4457124 4930828 6339636 7396242 8100646 11094363 12150969 14792484 16201292 22188726 24301938 28352261 36452907 44377452 48603876 56704522 72905814 85056783 113409044 145811628 170113566 255170349 340227132 510340698 1020681396