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23009840 = 2457172417
BaseRepresentation
bin101011111000…
…1101000110000
31121022000120022
41113301220300
521342303330
62141103012
7366403040
oct127615060
947260508
1023009840
1111a966a7
127857a68
1349c83b9
1430ad720
152047ae5
hex15f1a30

23009840 has 80 divisors (see below), whose sum is σ = 64763712. Its totient is φ = 7421952.

The previous prime is 23009839. The next prime is 23009873. The reversal of 23009840 is 4890032.

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

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, 8312 + ... + 10728.

Almost surely, 223009840 is an apocalyptic number.

23009840 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 23009840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32381856).

23009840 is an abundant number, since it is smaller than the sum of its proper divisors (41753872).

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

23009840 is a wasteful number, since it uses less digits than its factorization.

23009840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2448 counting only the distinct ones).

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

The square root of 23009840 is about 4796.8573045276. The cubic root of 23009840 is about 284.4272482190.

Adding to 23009840 its reverse (4890032), we get a palindrome (27899872).

The spelling of 23009840 in words is "twenty-three million, nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 2417 4760 4834 9520 9668 12085 16919 19336 24170 33838 38672 41089 48340 67676 82178 84595 96680 135352 164356 169190 193360 205445 270704 287623 328712 338380 410890 575246 657424 676760 821780 1150492 1353520 1438115 1643560 2300984 2876230 3287120 4601968 5752460 11504920 23009840