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2023405104 = 243741191769
BaseRepresentation
bin111100010011010…
…1011011000110000
312020000101121222210
41320212223120300
513120442430404
6532440332120
7101066442150
oct17046533060
95200347883
102023405104
11949183226
12485774040
13263280636
14152a2c760
15bc987689
hex789ab630

2023405104 has 160 divisors (see below), whose sum is σ = 6159605760. Its totient is φ = 560332800.

The previous prime is 2023405079. The next prime is 2023405129. The reversal of 2023405104 is 4015043202.

It is an interprime number because it is at equal distance from previous prime (2023405079) and next prime (2023405129).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2630832 + ... + 2631600.

It is an arithmetic number, because the mean of its divisors is an integer number (38497536).

Almost surely, 22023405104 is an apocalyptic number.

2023405104 is a gapful number since it is divisible by the number (24) 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 2023405104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079802880).

2023405104 is an abundant number, since it is smaller than the sum of its proper divisors (4136200656).

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

2023405104 is a wasteful number, since it uses less digits than its factorization.

2023405104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2023405104 is about 44982.2754426674. The cubic root of 2023405104 is about 1264.8167656819.

Adding to 2023405104 its reverse (4015043202), we get a palindrome (6038448306).

The spelling of 2023405104 in words is "two billion, twenty-three million, four hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 191 246 287 328 336 382 492 573 574 656 764 769 861 984 1146 1148 1337 1528 1538 1722 1968 2292 2296 2307 2674 3056 3076 3444 4011 4584 4592 4614 5348 5383 6152 6888 7831 8022 9168 9228 10696 10766 12304 13776 15662 16044 16149 18456 21392 21532 23493 31324 31529 32088 32298 36912 43064 46986 54817 62648 63058 64176 64596 86128 93972 94587 109634 125296 126116 129192 146879 164451 187944 189174 219268 220703 252232 258384 293758 328902 375888 378348 438536 440637 441406 504464 587516 657804 662109 756696 877072 881274 882812 1028153 1175032 1315608 1324218 1513392 1762548 1765624 2056306 2350064 2631216 2648436 3084459 3525096 3531248 4112612 5296872 6022039 6168918 7050192 8225224 10593744 12044078 12337836 16450448 18066117 24088156 24675672 36132234 42154273 48176312 49351344 72264468 84308546 96352624 126462819 144528936 168617092 252925638 289057872 337234184 505851276 674468368 1011702552 2023405104