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2075034104 = 2311133158511
BaseRepresentation
bin111101110101110…
…1000000111111000
312100121112122122222
41323223220013320
513222202042404
6541523103212
7102264333053
oct17353500770
95317478588
102075034104
11975336920
1249ab11b08
13270b89340
1415982ba9a
15c2284dbe
hex7bae81f8

2075034104 has 64 divisors (see below), whose sum is σ = 4718407680. Its totient is φ = 842544000.

The previous prime is 2075034053. The next prime is 2075034109. The reversal of 2075034104 is 4014305702.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2075034109) 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, 6209 + ... + 64719.

It is an arithmetic number, because the mean of its divisors is an integer number (73725120).

Almost surely, 22075034104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2075034104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359203840).

2075034104 is an abundant number, since it is smaller than the sum of its proper divisors (2643373576).

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

2075034104 is a wasteful number, since it uses less digits than its factorization.

2075034104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58572 (or 58568 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 2075034104 is about 45552.5422342156. The cubic root of 2075034104 is about 1275.4841895999.

Adding to 2075034104 its reverse (4014305702), we get a palindrome (6089339806).

The spelling of 2075034104 in words is "two billion, seventy-five million, thirty-four thousand, one hundred four".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 104 124 143 248 286 341 403 572 682 806 1144 1364 1612 2728 3224 4433 8866 17732 35464 58511 117022 234044 468088 643621 760643 1287242 1521286 1813841 2574484 3042572 3627682 5148968 6085144 7255364 8367073 14510728 16734146 19952251 23579933 33468292 39904502 47159866 66936584 79809004 94319732 159618008 188639464 259379263 518758526 1037517052 2075034104