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23453040 = 2435137517
BaseRepresentation
bin101100101110…
…1110101110000
31122010112112010
41121131311300
522000444130
62154402520
7403230132
oct131356560
948115463
1023453040
1112269686
127a30440
134b22050
143187052
1520d40b0
hex165dd70

23453040 has 80 divisors (see below), whose sum is σ = 78307488. Its totient is φ = 5772288.

The previous prime is 23453039. The next prime is 23453057. The reversal of 23453040 is 4035432.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 23452998 and 23453016.

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, 639 + ... + 6878.

Almost surely, 223453040 is an apocalyptic number.

23453040 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 23453040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39153744).

23453040 is an abundant number, since it is smaller than the sum of its proper divisors (54854448).

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

23453040 is a wasteful number, since it uses less digits than its factorization.

23453040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7546 (or 7540 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 23453040 is about 4842.8338811072. The cubic root of 23453040 is about 286.2417959422.

Adding to 23453040 its reverse (4035432), we get a palindrome (27488472).

The spelling of 23453040 in words is "twenty-three million, four hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 7517 15034 22551 30068 37585 45102 60136 75170 90204 97721 112755 120272 150340 180408 195442 225510 293163 300680 360816 390884 451020 488605 586326 601360 781768 902040 977210 1172652 1465815 1563536 1804080 1954420 2345304 2931630 3908840 4690608 5863260 7817680 11726520 23453040