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23983020 = 22335231931
BaseRepresentation
bin101101101111…
…1001110101100
31200010110112000
41123133032230
522114424040
62214012300
7410565225
oct133371654
950113460
1023983020
11125a0886
128047090
134c79349
14328424c
15218b130
hex16df3ac

23983020 has 96 divisors (see below), whose sum is σ = 77898240. Its totient is φ = 6114240.

The previous prime is 23983013. The next prime is 23983021. The reversal of 23983020 is 2038932.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23983021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11455 + ... + 13385.

It is an arithmetic number, because the mean of its divisors is an integer number (811440).

Almost surely, 223983020 is an apocalyptic number.

23983020 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 23983020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38949120).

23983020 is an abundant number, since it is smaller than the sum of its proper divisors (53915220).

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

23983020 is a wasteful number, since it uses less digits than its factorization.

23983020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 23983020 is about 4897.2461649380. The cubic root of 23983020 is about 288.3818719076.

The spelling of 23983020 in words is "twenty-three million, nine hundred eighty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 1931 2070 2484 3105 3862 4140 5793 6210 7724 9655 11586 12420 17379 19310 23172 28965 34758 38620 44413 52137 57930 69516 86895 88826 104274 115860 133239 173790 177652 208548 222065 260685 266478 347580 399717 444130 521370 532956 666195 799434 888260 1042740 1199151 1332390 1598868 1998585 2398302 2664780 3997170 4796604 5995755 7994340 11991510 23983020