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2023013040 = 243579106699
BaseRepresentation
bin111100010010100…
…1011101010110000
312012222122201011220
41320211023222300
513120342404130
6532424105040
7101063220126
oct17045135260
95188581156
102023013040
11948a35704
12485605180
13263174049
14152969916
15bc90b410
hex7894bab0

2023013040 has 80 divisors (see below), whose sum is σ = 6350784000. Its totient is φ = 532636416.

The previous prime is 2023012993. The next prime is 2023013129. The reversal of 2023013040 is 403103202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34390 + ... + 72309.

It is an arithmetic number, because the mean of its divisors is an integer number (79384800).

Almost surely, 22023013040 is an apocalyptic number.

2023013040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023013040 is an abundant number, since it is smaller than the sum of its proper divisors (4327770960).

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

2023013040 is a wasteful number, since it uses less digits than its factorization.

2023013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106794 (or 106788 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2023013040 is about 44977.9172483564. The cubic root of 2023013040 is about 1264.7350682252.

Adding to 2023013040 its reverse (403103202), we get a palindrome (2426116242).

The spelling of 2023013040 in words is "two billion, twenty-three million, thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2370 3160 3792 4740 6320 9480 18960 106699 213398 320097 426796 533495 640194 853592 1066990 1280388 1600485 1707184 2133980 2560776 3200970 4267960 5121552 6401940 8429221 8535920 12803880 16858442 25287663 25607760 33716884 42146105 50575326 67433768 84292210 101150652 126438315 134867536 168584420 202301304 252876630 337168840 404602608 505753260 674337680 1011506520 2023013040