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23133840 = 2435412351
BaseRepresentation
bin101100000111…
…1111010010000
31121112022122220
41120033322100
521410240330
62143501040
7400430412
oct130177220
947468586
1023133840
1112070884
1278b7780
134a3c982
1431029b2
15206e710
hex160fe90

23133840 has 80 divisors (see below), whose sum is σ = 73495296. Its totient is φ = 6016000.

The previous prime is 23133839. The next prime is 23133853. The reversal of 23133840 is 4833132.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23133840.

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, 8665 + ... + 11015.

Almost surely, 223133840 is an apocalyptic number.

23133840 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 23133840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36747648).

23133840 is an abundant number, since it is smaller than the sum of its proper divisors (50361456).

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

23133840 is a wasteful number, since it uses less digits than its factorization.

23133840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 23133840 is about 4809.7650670277. The cubic root of 23133840 is about 284.9372591961.

Adding to 23133840 its reverse (4833132), we get a palindrome (27966972).

The spelling of 23133840 in words is "twenty-three million, one hundred thirty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2351 2460 3280 4702 4920 7053 9404 9840 11755 14106 18808 23510 28212 35265 37616 47020 56424 70530 94040 96391 112848 141060 188080 192782 282120 289173 385564 481955 564240 578346 771128 963910 1156692 1445865 1542256 1927820 2313384 2891730 3855640 4626768 5783460 7711280 11566920 23133840