Search a number
-
+
23273280 = 263258081
BaseRepresentation
bin101100011000…
…1111101000000
31121210101221100
41120301331000
521424221110
62150454400
7401551062
oct130617500
947711840
1023273280
1112156618
127964400
134a8b294
14313b732
15209abc0
hex1631f40

23273280 has 84 divisors (see below), whose sum is σ = 80060292. Its totient is φ = 6205440.

The previous prime is 23273273. The next prime is 23273339. The reversal of 23273280 is 8237232.

It can be written as a sum of positive squares in 2 ways, for example, as 8156736 + 15116544 = 2856^2 + 3888^2 .

It is a hoax number, since the sum of its digits (27) 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 11 ways as a sum of consecutive naturals, for example, 1161 + ... + 6920.

Almost surely, 223273280 is an apocalyptic number.

23273280 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 23273280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40030146).

23273280 is an abundant number, since it is smaller than the sum of its proper divisors (56787012).

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

23273280 is a wasteful number, since it uses less digits than its factorization.

23273280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8104 (or 8091 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23273280 is about 4824.2388000595. The cubic root of 23273280 is about 285.5086024421.

Subtracting from 23273280 its sum of digits (27), we obtain a triangular number (23273253 = T6822).

The spelling of 23273280 in words is "twenty-three million, two hundred seventy-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 8081 16162 24243 32324 40405 48486 64648 72729 80810 96972 121215 129296 145458 161620 193944 242430 258592 290916 323240 363645 387888 484860 517184 581832 646480 727290 775776 969720 1163664 1292960 1454580 1551552 1939440 2327328 2585920 2909160 3878880 4654656 5818320 7757760 11636640 23273280