Search a number
-
+
3020400120 = 233589282809
BaseRepresentation
bin1011010000000111…
…1010010111111000
321210111102020001010
42310001322113320
522141210300440
61215413353520
7134563656153
oct26401722770
97714366033
103020400120
11130aa34351
127036388a0
133919a7b0a
142091d6c9a
1512a273580
hexb407a5f8

3020400120 has 64 divisors (see below), whose sum is σ = 9163044000. Its totient is φ = 796387328.

The previous prime is 3020400079. The next prime is 3020400121. The reversal of 3020400120 is 210040203.

3020400120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3020400096 and 3020400105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3020400121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130725 + ... + 152084.

Almost surely, 23020400120 is an apocalyptic number.

3020400120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3020400120 is an abundant number, since it is smaller than the sum of its proper divisors (6142643880).

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

3020400120 is a wasteful number, since it uses less digits than its factorization.

3020400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282912 (or 282908 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3020400120 is about 54958.1670000010. The cubic root of 3020400120 is about 1445.5113063859.

Adding to 3020400120 its reverse (210040203), we get a palindrome (3230440323).

The spelling of 3020400120 in words is "three billion, twenty million, four hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1335 1780 2136 2670 3560 5340 10680 282809 565618 848427 1131236 1414045 1696854 2262472 2828090 3393708 4242135 5656180 6787416 8484270 11312360 16968540 25170001 33937080 50340002 75510003 100680004 125850005 151020006 201360008 251700010 302040012 377550015 503400020 604080024 755100030 1006800040 1510200060 3020400120