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23980500 = 223253732
BaseRepresentation
bin101101101111…
…0100111010100
31200010100001200
41123132213110
522114334000
62213552500
7410554665
oct133364724
950110050
1023980500
11125999a5
128045730
134c7815b
14328336c
15218a500
hex16de9d4

23980500 has 108 divisors (see below), whose sum is σ = 76700988. Its totient is φ = 6307200.

The previous prime is 23980499. The next prime is 23980511. The reversal of 23980500 is 508932.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 6290064 + 17690436 = 2508^2 + 4206^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 328464 + ... + 328536.

Almost surely, 223980500 is an apocalyptic number.

23980500 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 23980500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38350494).

23980500 is an abundant number, since it is smaller than the sum of its proper divisors (52720488).

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

23980500 is a wasteful number, since it uses less digits than its factorization.

23980500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 23980500 is about 4896.9888707245. The cubic root of 23980500 is about 288.3717710422.

The spelling of 23980500 in words is "twenty-three million, nine hundred eighty thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 73 75 90 100 125 146 150 180 219 225 250 292 300 365 375 438 450 500 657 730 750 876 900 1095 1125 1314 1460 1500 1825 2190 2250 2628 3285 3650 4380 4500 5329 5475 6570 7300 9125 10658 10950 13140 15987 16425 18250 21316 21900 26645 27375 31974 32850 36500 47961 53290 54750 63948 65700 79935 82125 95922 106580 109500 133225 159870 164250 191844 239805 266450 319740 328500 399675 479610 532900 666125 799350 959220 1199025 1332250 1598700 1998375 2398050 2664500 3996750 4796100 5995125 7993500 11990250 23980500