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23275380 = 223517191201
BaseRepresentation
bin101100011001…
…0011101110100
31121210111211010
41120302131310
521424303010
62150512220
7401560152
oct130623564
947714733
1023275380
1112158157
127965670
134a8c21b
14313c3d2
15209b620
hex1632774

23275380 has 96 divisors (see below), whose sum is σ = 72696960. Its totient is φ = 5529600.

The previous prime is 23275367. The next prime is 23275381. The reversal of 23275380 is 8357232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23275381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18780 + ... + 19980.

It is an arithmetic number, because the mean of its divisors is an integer number (757260).

Almost surely, 223275380 is an apocalyptic number.

23275380 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 23275380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36348480).

23275380 is an abundant number, since it is smaller than the sum of its proper divisors (49421580).

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

23275380 is a wasteful number, since it uses less digits than its factorization.

23275380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 23275380 is about 4824.4564460673. The cubic root of 23275380 is about 285.5171895433.

The spelling of 23275380 in words is "twenty-three million, two hundred seventy-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 380 510 570 646 969 1020 1140 1201 1292 1615 1938 2402 3230 3603 3876 4804 4845 6005 6460 7206 9690 12010 14412 18015 19380 20417 22819 24020 36030 40834 45638 61251 68457 72060 81668 91276 102085 114095 122502 136914 204170 228190 245004 273828 306255 342285 387923 408340 456380 612510 684570 775846 1163769 1225020 1369140 1551692 1939615 2327538 3879230 4655076 5818845 7758460 11637690 23275380