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1685216020 = 2251947157601
BaseRepresentation
bin110010001110010…
…0101101100010100
311100110000211210011
41210130211230110
511422403403040
6435120010004
756522046145
oct14434455424
94313024704
101685216020
11795295814
123b0460904
1320b1a1357
1411db57acc
159ce333ea
hex64725b14

1685216020 has 96 divisors (see below), whose sum is σ = 3835077120. Its totient is φ = 620006400.

The previous prime is 1685215919. The next prime is 1685216107. The reversal of 1685216020 is 206125861.

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, 2803720 + ... + 2804320.

It is an arithmetic number, because the mean of its divisors is an integer number (39948720).

Almost surely, 21685216020 is an apocalyptic number.

1685216020 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 1685216020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917538560).

1685216020 is an abundant number, since it is smaller than the sum of its proper divisors (2149861100).

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

1685216020 is a wasteful number, since it uses less digits than its factorization.

1685216020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 1685216020 is about 41051.3826807332. The cubic root of 1685216020 is about 1190.0134216879.

The spelling of 1685216020 in words is "one billion, six hundred eighty-five million, two hundred sixteen thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 157 188 190 235 314 380 470 601 628 785 893 940 1202 1570 1786 2404 2983 3005 3140 3572 4465 5966 6010 7379 8930 11419 11932 12020 14758 14915 17860 22838 28247 29516 29830 36895 45676 56494 57095 59660 73790 94357 112988 114190 140201 141235 147580 188714 228380 280402 282470 377428 471785 536693 560804 564940 701005 943570 1073386 1402010 1792783 1887140 2146772 2683465 2804020 3585566 4434779 5366930 7171132 8869558 8963915 10733860 17739116 17927830 22173895 35855660 44347790 84260801 88695580 168521602 337043204 421304005 842608010 1685216020