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23097840 = 2435157613
BaseRepresentation
bin101100000011…
…1000111110000
31121110111021120
41120013013300
521403112330
62143022240
7400220433
oct130070760
947414246
1023097840
1112046827
12789a980
134a2947c
1430d381a
152063c10
hex16071f0

23097840 has 80 divisors (see below), whose sum is σ = 72176928. Its totient is φ = 6110208.

The previous prime is 23097839. The next prime is 23097869. The reversal of 23097840 is 4879032.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37374 + ... + 37986.

Almost surely, 223097840 is an apocalyptic number.

23097840 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 23097840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36088464).

23097840 is an abundant number, since it is smaller than the sum of its proper divisors (49079088).

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

23097840 is a wasteful number, since it uses less digits than its factorization.

23097840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 23097840 is about 4806.0212234238. The cubic root of 23097840 is about 284.7893796275.

The spelling of 23097840 in words is "twenty-three million, ninety-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 157 240 314 471 613 628 785 942 1226 1256 1570 1839 1884 2355 2452 2512 3065 3140 3678 3768 4710 4904 6130 6280 7356 7536 9195 9420 9808 12260 12560 14712 18390 18840 24520 29424 36780 37680 49040 73560 96241 147120 192482 288723 384964 481205 577446 769928 962410 1154892 1443615 1539856 1924820 2309784 2887230 3849640 4619568 5774460 7699280 11548920 23097840