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23971920 = 2435719751
BaseRepresentation
bin101101101110…
…0100001010000
31200002220021220
41123130201100
522114100140
62213445040
7410520660
oct133344120
950086256
1023971920
1112593505
128040780
134c7428b
1432801a0
152187bd0
hex16dc850

23971920 has 160 divisors (see below), whose sum is σ = 89518080. Its totient is φ = 5184000.

The previous prime is 23971907. The next prime is 23971931. The reversal of 23971920 is 2917932.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 31545 + ... + 32295.

It is an arithmetic number, because the mean of its divisors is an integer number (559488).

Almost surely, 223971920 is an apocalyptic number.

23971920 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 23971920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44759040).

23971920 is an abundant number, since it is smaller than the sum of its proper divisors (65546160).

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

23971920 is a wasteful number, since it uses less digits than its factorization.

23971920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 23971920 is about 4896.1127437999. The cubic root of 23971920 is about 288.3373746932.

The spelling of 23971920 in words is "twenty-three million, nine hundred seventy-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 751 760 798 840 912 1064 1140 1330 1502 1520 1596 1680 1995 2128 2253 2280 2660 3004 3192 3755 3990 4506 4560 5257 5320 6008 6384 7510 7980 9012 10514 10640 11265 12016 14269 15020 15771 15960 18024 21028 22530 26285 28538 30040 31542 31920 36048 42056 42807 45060 52570 57076 60080 63084 71345 78855 84112 85614 90120 99883 105140 114152 126168 142690 157710 171228 180240 199766 210280 214035 228304 252336 285380 299649 315420 342456 399532 420560 428070 499415 570760 599298 630840 684912 799064 856140 998830 1141520 1198596 1261680 1498245 1598128 1712280 1997660 2397192 2996490 3424560 3995320 4794384 5992980 7990640 11985960 23971920