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23797040 = 245476329
BaseRepresentation
bin101101011000…
…1110100110000
31122210000101212
41122301310300
522043001130
62210015252
7406162061
oct132616460
948700355
1023797040
1112484083
127b77528
134c127b7
143236568
152150e95
hex16b1d30

23797040 has 40 divisors (see below), whose sum is σ = 56514240. Its totient is φ = 9314816.

The previous prime is 23797021. The next prime is 23797043. The reversal of 23797040 is 4079732.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×237970402 = 1132598225523200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23796988 and 23797006.

It is not an unprimeable number, because it can be changed into a prime (23797043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 596 + ... + 6924.

It is an arithmetic number, because the mean of its divisors is an integer number (1412856).

Almost surely, 223797040 is an apocalyptic number.

23797040 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 23797040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28257120).

23797040 is an abundant number, since it is smaller than the sum of its proper divisors (32717200).

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

23797040 is a wasteful number, since it uses less digits than its factorization.

23797040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6383 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 23797040 is about 4878.2209872042. The cubic root of 23797040 is about 287.6345029124.

The spelling of 23797040 in words is "twenty-three million, seven hundred ninety-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 6329 12658 25316 31645 50632 63290 101264 126580 253160 297463 506320 594926 1189852 1487315 2379704 2974630 4759408 5949260 11898520 23797040