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1620540012 = 2237135472713
BaseRepresentation
bin110000010010111…
…0111101001101100
311011221022221222110
41200211313221230
511304324240022
6424445444020
755105235310
oct14045675154
94157287873
101620540012
11761830773
12392870610
131ca977c20
1411531db40
159740a00c
hex60977a6c

1620540012 has 96 divisors (see below), whose sum is σ = 4664084992. Its totient is φ = 426456576.

The previous prime is 1620540007. The next prime is 1620540029. The reversal of 1620540012 is 2100450261.

It is a super-2 number, since 2×16205400122 = 5252299860985920288, which contains 22 as substring.

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

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, 595968 + ... + 598680.

Almost surely, 21620540012 is an apocalyptic number.

1620540012 is a gapful number since it is divisible by the number (12) 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 1620540012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332042496).

1620540012 is an abundant number, since it is smaller than the sum of its proper divisors (3043544980).

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

1620540012 is a wasteful number, since it uses less digits than its factorization.

1620540012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1620540012 is about 40255.9313890512. The cubic root of 1620540012 is about 1174.5907763411.

Adding to 1620540012 its reverse (2100450261), we get a palindrome (3720990273).

The spelling of 1620540012 in words is "one billion, six hundred twenty million, five hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 547 1092 1094 1641 2188 2713 3282 3829 5426 6564 7111 7658 8139 10852 11487 14222 15316 16278 18991 21333 22974 28444 32556 35269 37982 42666 45948 49777 56973 70538 75964 85332 99554 105807 113946 141076 149331 199108 211614 227892 246883 298662 423228 493766 597324 740649 987532 1481298 1484011 2962596 2968022 4452033 5936044 8904066 10388077 17808132 19292143 20776154 31164231 38584286 41552308 57876429 62328462 77168572 115752858 124656924 135045001 231505716 270090002 405135003 540180004 810270006 1620540012