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23940080 = 2451729607
BaseRepresentation
bin101101101010…
…0101111110000
31200001021121122
41123110233300
522112040310
62213041412
7410326103
oct133245760
950037548
1023940080
111257159a
128026268
134c62938
14327273a
15217d555
hex16d4bf0

23940080 has 80 divisors (see below), whose sum is σ = 61067520. Its totient is φ = 8687616.

The previous prime is 23940071. The next prime is 23940083. The reversal of 23940080 is 8004932.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23940083) 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, 39137 + ... + 39743.

It is an arithmetic number, because the mean of its divisors is an integer number (763344).

Almost surely, 223940080 is an apocalyptic number.

23940080 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 23940080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30533760).

23940080 is an abundant number, since it is smaller than the sum of its proper divisors (37127440).

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

23940080 is a wasteful number, since it uses less digits than its factorization.

23940080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 23940080 is about 4892.8601042744. The cubic root of 23940080 is about 288.2096595768.

The spelling of 23940080 in words is "twenty-three million, nine hundred forty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 29 34 40 58 68 80 85 116 136 145 170 232 272 290 340 464 493 580 607 680 986 1160 1214 1360 1972 2320 2428 2465 3035 3944 4856 4930 6070 7888 9712 9860 10319 12140 17603 19720 20638 24280 35206 39440 41276 48560 51595 70412 82552 88015 103190 140824 165104 176030 206380 281648 299251 352060 412760 598502 704120 825520 1197004 1408240 1496255 2394008 2992510 4788016 5985020 11970040 23940080