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23403120 = 2435132577
BaseRepresentation
bin101100101000…
…1101001110000
31122001000001020
41121101221300
521442344440
62153335440
7402631446
oct131215160
948030036
1023403120
1112235124
127a07580
134b05400
143172b96
1520c43d0
hex1651a70

23403120 has 120 divisors (see below), whose sum is σ = 78695856. Its totient is φ = 5750784.

The previous prime is 23403097. The next prime is 23403131. The reversal of 23403120 is 2130432.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23403120.

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 23 ways as a sum of consecutive naturals, for example, 40272 + ... + 40848.

Almost surely, 223403120 is an apocalyptic number.

23403120 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 23403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39347928).

23403120 is an abundant number, since it is smaller than the sum of its proper divisors (55292736).

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

23403120 is a wasteful number, since it uses less digits than its factorization.

23403120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 23403120 is about 4837.6771285401. The cubic root of 23403120 is about 286.0385622934.

Adding to 23403120 its reverse (2130432), we get a palindrome (25533552).

It can be divided in two parts, 2340 and 3120, that added together give a triangular number (5460 = T104).

The spelling of 23403120 in words is "twenty-three million, four hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 577 624 676 780 845 1014 1040 1154 1352 1560 1690 1731 2028 2308 2535 2704 2885 3120 3380 3462 4056 4616 5070 5770 6760 6924 7501 8112 8655 9232 10140 11540 13520 13848 15002 17310 20280 22503 23080 27696 30004 34620 37505 40560 45006 46160 60008 69240 75010 90012 97513 112515 120016 138480 150020 180024 195026 225030 292539 300040 360048 390052 450060 487565 585078 600080 780104 900120 975130 1170156 1462695 1560208 1800240 1950260 2340312 2925390 3900520 4680624 5850780 7801040 11701560 23403120