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23902920 = 2332567991
BaseRepresentation
bin101101100101…
…1101011001000
31122222101122100
41123023223020
522104343140
62212153400
7410112546
oct133135310
948871570
1023902920
1112546688
128008860
134c4ba52
143262d96
152172530
hex16cbac8

23902920 has 96 divisors (see below), whose sum is σ = 78923520. Its totient is φ = 6272640.

The previous prime is 23902919. The next prime is 23902927. The reversal of 23902920 is 2920932.

It is a super-3 number, since 3×239029203 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23902927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23625 + ... + 24615.

It is an arithmetic number, because the mean of its divisors is an integer number (822120).

Almost surely, 223902920 is an apocalyptic number.

23902920 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 23902920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39461760).

23902920 is an abundant number, since it is smaller than the sum of its proper divisors (55020600).

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

23902920 is a wasteful number, since it uses less digits than its factorization.

23902920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 23902920 is about 4889.0612595876. The cubic root of 23902920 is about 288.0604618430.

The spelling of 23902920 in words is "twenty-three million, nine hundred two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 991 1005 1206 1340 1608 1982 2010 2412 2680 2973 3015 3964 4020 4824 4955 5946 6030 7928 8040 8919 9910 11892 12060 14865 17838 19820 23784 24120 29730 35676 39640 44595 59460 66397 71352 89190 118920 132794 178380 199191 265588 331985 356760 398382 531176 597573 663970 796764 995955 1195146 1327940 1593528 1991910 2390292 2655880 2987865 3983820 4780584 5975730 7967640 11951460 23902920