Search a number
-
+
20342072820 = 22354710197079
BaseRepresentation
bin10010111100011110…
…110110010111110100
31221111200012100221110
4102330132312113310
5313130032312240
613202305115020
71320044523516
oct227436662764
957450170843
1020342072820
11869962a433
123b38628a70
131bc25168a4
14dad8cbbb6
157e0cdac80
hex4bc7b65f4

20342072820 has 96 divisors (see below), whose sum is σ = 58234982400. Its totient is φ = 5303177344.

The previous prime is 20342072819. The next prime is 20342072837. The reversal of 20342072820 is 2827024302.

It is a super-2 number, since 2×203420728202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2870041 + ... + 2877119.

It is an arithmetic number, because the mean of its divisors is an integer number (606614400).

Almost surely, 220342072820 is an apocalyptic number.

20342072820 is a gapful number since it is divisible by the number (20) 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 20342072820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29117491200).

20342072820 is an abundant number, since it is smaller than the sum of its proper divisors (37892909580).

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

20342072820 is a wasteful number, since it uses less digits than its factorization.

20342072820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8157 (or 8155 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 20342072820 in words is "twenty billion, three hundred forty-two million, seventy-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1019 1410 2038 2820 3057 4076 5095 6114 7079 10190 12228 14158 15285 20380 21237 28316 30570 35395 42474 47893 61140 70790 84948 95786 106185 141580 143679 191572 212370 239465 287358 332713 424740 478930 574716 665426 718395 957860 998139 1330852 1436790 1663565 1996278 2873580 3327130 3992556 4990695 6654260 7213501 9981390 14427002 19962780 21640503 28854004 36067505 43281006 72135010 86562012 108202515 144270020 216405030 339034547 432810060 678069094 1017103641 1356138188 1695172735 2034207282 3390345470 4068414564 5085518205 6780690940 10171036410 20342072820