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2073402408 = 2337117691459
BaseRepresentation
bin111101110010101…
…1001110000101000
312100111110202101210
41323211121300220
513221242334113
6541424113120
7102244425660
oct17345316050
95314422353
102073402408
11974421a10
1249a4657a0
1327073773c
141595251a0
15c20616c3
hex7b959c28

2073402408 has 128 divisors (see below), whose sum is σ = 6475392000. Its totient is φ = 537477120.

The previous prime is 2073402407. The next prime is 2073402427. The reversal of 2073402408 is 8042043702.

It is not an unprimeable number, because it can be changed into a prime (2073402403) 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, 1420383 + ... + 1421841.

It is an arithmetic number, because the mean of its divisors is an integer number (50589000).

Almost surely, 22073402408 is an apocalyptic number.

2073402408 is a gapful number since it is divisible by the number (28) 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 2073402408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237696000).

2073402408 is an abundant number, since it is smaller than the sum of its proper divisors (4401989592).

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

2073402408 is a wasteful number, since it uses less digits than its factorization.

2073402408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2251 counting only the distinct ones).

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

The square root of 2073402408 is about 45534.6286687396. The cubic root of 2073402408 is about 1275.1497777140.

The spelling of 2073402408 in words is "two billion, seventy-three million, four hundred two thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 769 924 1459 1538 1848 2307 2918 3076 4377 4614 5383 5836 6152 8459 8754 9228 10213 10766 11672 16049 16149 16918 17508 18456 20426 21532 25377 30639 32098 32298 33836 35016 40852 43064 48147 50754 59213 61278 64196 64596 67672 81704 96294 101508 112343 118426 122556 128392 129192 177639 192588 203016 224686 236852 245112 337029 355278 385176 449372 473704 674058 710556 898744 1121971 1348116 1421112 2243942 2696232 3365913 4487884 6731826 7853797 8975768 12341681 13463652 15707594 23561391 24683362 26927304 31415188 37025043 47122782 49366724 62830376 74050086 86391767 94245564 98733448 148100172 172783534 188491128 259175301 296200344 345567068 518350602 691134136 1036701204 2073402408