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23123040 = 253567719
BaseRepresentation
bin101100000110…
…1010001100000
31121111202211220
41120031101200
521404414130
62143335040
7400354053
oct130152140
947452756
1023123040
1112063756
1278b1480
134a37a95
1430dca9a
15206b410
hex160d460

23123040 has 96 divisors (see below), whose sum is σ = 74027520. Its totient is φ = 6065664.

The previous prime is 23123029. The next prime is 23123047. The reversal of 23123040 is 4032132.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23123047) 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, 31801 + ... + 32519.

It is an arithmetic number, because the mean of its divisors is an integer number (771120).

Almost surely, 223123040 is an apocalyptic number.

23123040 is a gapful number since it is divisible by the number (20) 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 23123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013760).

23123040 is an abundant number, since it is smaller than the sum of its proper divisors (50904480).

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

23123040 is a wasteful number, since it uses less digits than its factorization.

23123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 796 counting only the distinct ones).

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

The square root of 23123040 is about 4808.6422200035. The cubic root of 23123040 is about 284.8929114440.

Adding to 23123040 its reverse (4032132), we get a palindrome (27155172).

The spelling of 23123040 in words is "twenty-three million, one hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 67 80 96 120 134 160 201 240 268 335 402 480 536 670 719 804 1005 1072 1340 1438 1608 2010 2144 2157 2680 2876 3216 3595 4020 4314 5360 5752 6432 7190 8040 8628 10720 10785 11504 14380 16080 17256 21570 23008 28760 32160 34512 43140 48173 57520 69024 86280 96346 115040 144519 172560 192692 240865 289038 345120 385384 481730 578076 722595 770768 963460 1156152 1445190 1541536 1926920 2312304 2890380 3853840 4624608 5780760 7707680 11561520 23123040