Search a number
-
+
23773120 = 265710613
BaseRepresentation
bin101101010101…
…1111111000000
31122201210120221
41122223333000
522041214440
62205312424
7406032250
oct132537700
948653527
1023773120
1112468108
127b65714
134c04947
14322b960
152148d4a
hex16abfc0

23773120 has 56 divisors (see below), whose sum is σ = 64702944. Its totient is φ = 8150016.

The previous prime is 23773093. The next prime is 23773133. The reversal of 23773120 is 2137732.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×237731202 = 1130322469068800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3067 + ... + 7546.

Almost surely, 223773120 is an apocalyptic number.

23773120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23773120 is an abundant number, since it is smaller than the sum of its proper divisors (40929824).

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

23773120 is a wasteful number, since it uses less digits than its factorization.

23773120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10637 (or 10627 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 23773120 is about 4875.7686573503. The cubic root of 23773120 is about 287.5380970309.

The spelling of 23773120 in words is "twenty-three million, seven hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 10613 21226 42452 53065 74291 84904 106130 148582 169808 212260 297164 339616 371455 424520 594328 679232 742910 849040 1188656 1485820 1698080 2377312 2971640 3396160 4754624 5943280 11886560 23773120