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23780000 = 25542941
BaseRepresentation
bin101101010110…
…1101010100000
31122202011000202
41122231222200
522041430000
62205404332
7406061306
oct132555240
948664022
1023780000
11124722a2
127b696a8
134c07b0a
143230276
15214add5
hex16adaa0

23780000 has 120 divisors (see below), whose sum is σ = 61995780. Its totient is φ = 8960000.

The previous prime is 23779997. The next prime is 23780017. The reversal of 23780000 is 8732.

It can be written as a sum of positive squares in 10 ways, for example, as 6574096 + 17205904 = 2564^2 + 4148^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 579980 + ... + 580020.

Almost surely, 223780000 is an apocalyptic number.

23780000 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 23780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30997890).

23780000 is an abundant number, since it is smaller than the sum of its proper divisors (38215780).

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

23780000 is an equidigital number, since it uses as much as digits as its factorization.

23780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 23780000 is about 4876.4741360946. The cubic root of 23780000 is about 287.5658324354.

Adding to 23780000 its reverse (8732), we get a palindrome (23788732).

The spelling of 23780000 in words is "twenty-three million, seven hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 41 50 58 80 82 100 116 125 145 160 164 200 205 232 250 290 328 400 410 464 500 580 625 656 725 800 820 928 1000 1025 1160 1189 1250 1312 1450 1640 2000 2050 2320 2378 2500 2900 3280 3625 4000 4100 4640 4756 5000 5125 5800 5945 6560 7250 8200 9512 10000 10250 11600 11890 14500 16400 18125 19024 20000 20500 23200 23780 25625 29000 29725 32800 36250 38048 41000 47560 51250 58000 59450 72500 82000 95120 102500 116000 118900 145000 148625 164000 190240 205000 237800 290000 297250 410000 475600 580000 594500 743125 820000 951200 1189000 1486250 2378000 2972500 4756000 5945000 11890000 23780000