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23475780 = 22325413181
BaseRepresentation
bin101100110001…
…1011001000100
31122011200201100
41121203121010
522002211110
62155100100
7403353336
oct131433104
948150640
1023475780
1112284779
127a41630
134b2c4c3
143191456
1520dabc0
hex1663644

23475780 has 72 divisors (see below), whose sum is σ = 72969624. Its totient is φ = 6105600.

The previous prime is 23475769. The next prime is 23475787. The reversal of 23475780 is 8757432.

It can be written as a sum of positive squares in 4 ways, for example, as 1065024 + 22410756 = 1032^2 + 4734^2 .

It is a super-2 number, since 2×234757802 = 1102224493216800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23475787) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5790 + ... + 8970.

It is an arithmetic number, because the mean of its divisors is an integer number (1013467).

Almost surely, 223475780 is an apocalyptic number.

23475780 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 23475780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36484812).

23475780 is an abundant number, since it is smaller than the sum of its proper divisors (49493844).

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

23475780 is a wasteful number, since it uses less digits than its factorization.

23475780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 23475780 is about 4845.1811111660. The cubic root of 23475780 is about 286.3342791316.

The spelling of 23475780 in words is "twenty-three million, four hundred seventy-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3181 3690 6362 7380 9543 12724 15905 19086 28629 31810 38172 47715 57258 63620 95430 114516 130421 143145 190860 260842 286290 391263 521684 572580 652105 782526 1173789 1304210 1565052 1956315 2347578 2608420 3912630 4695156 5868945 7825260 11737890 23475780