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3065801940 = 2233510615351
BaseRepresentation
bin1011011010111100…
…0110110011010100
321220122211212122000
42312233012303110
522234321130230
61224114435300
7135654613035
oct26657066324
97818755560
103065801940
111333624413
12716892b30
1339b2132b6
14211254a8c
1512e240b60
hexb6bc6cd4

3065801940 has 96 divisors (see below), whose sum is σ = 9548824320. Its totient is φ = 816624000.

The previous prime is 3065801927. The next prime is 3065801941. The reversal of 3065801940 is 491085603.

3065801940 is a `hidden beast` number, since 30 + 6 + 580 + 1 + 9 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3065801895 and 3065801904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3065801941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570265 + ... + 575615.

It is an arithmetic number, because the mean of its divisors is an integer number (99466920).

Almost surely, 23065801940 is an apocalyptic number.

3065801940 is a gapful number since it is divisible by the number (30) 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 3065801940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774412160).

3065801940 is an abundant number, since it is smaller than the sum of its proper divisors (6483022380).

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

3065801940 is a wasteful number, since it uses less digits than its factorization.

3065801940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6430 (or 6422 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3065801940 is about 55369.6843046807. The cubic root of 3065801940 is about 1452.7181578210.

The spelling of 3065801940 in words is "three billion, sixty-five million, eight hundred one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1061 2122 3183 4244 5305 5351 6366 9549 10610 10702 12732 15915 16053 19098 21220 21404 26755 28647 31830 32106 38196 47745 48159 53510 57294 63660 64212 80265 95490 96318 107020 114588 143235 144477 160530 190980 192636 240795 286470 288954 321060 481590 572940 577908 722385 963180 1444770 2889540 5677411 11354822 17032233 22709644 28387055 34064466 51096699 56774110 68128932 85161165 102193398 113548220 153290097 170322330 204386796 255483495 306580194 340644660 510966990 613160388 766450485 1021933980 1532900970 3065801940