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23812080 = 2435472111
BaseRepresentation
bin101101011010…
…1011111110000
31122210210000220
41122311133300
522043441310
62210213040
7406253655
oct132653760
948723026
1023812080
1112494406
127b84180
134c195b6
14323bc2c
152155670
hex16b57f0

23812080 has 80 divisors (see below), whose sum is σ = 75423744. Its totient is φ = 6211840.

The previous prime is 23812079. The next prime is 23812091. The reversal of 23812080 is 8021832.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23812080.

It is a congruent number.

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, 10225 + ... + 12335.

Almost surely, 223812080 is an apocalyptic number.

23812080 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 23812080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37711872).

23812080 is an abundant number, since it is smaller than the sum of its proper divisors (51611664).

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

23812080 is a wasteful number, since it uses less digits than its factorization.

23812080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 23812080 is about 4879.7622892924. The cubic root of 23812080 is about 287.6950862437.

The spelling of 23812080 in words is "twenty-three million, eight hundred twelve thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2111 2256 2820 3760 4222 5640 6333 8444 10555 11280 12666 16888 21110 25332 31665 33776 42220 50664 63330 84440 99217 101328 126660 168880 198434 253320 297651 396868 496085 506640 595302 793736 992170 1190604 1488255 1587472 1984340 2381208 2976510 3968680 4762416 5953020 7937360 11906040 23812080