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23096400 = 24352191013
BaseRepresentation
bin101100000011…
…0110001010000
31121110102022020
41120012301100
521403041100
62143011440
7400213305
oct130066120
947412266
1023096400
1112045738
127899b80
134a28912
1430d30ac
1520635a0
hex1606c50

23096400 has 120 divisors (see below), whose sum is σ = 77956320. Its totient is φ = 5829120.

The previous prime is 23096389. The next prime is 23096401. The reversal of 23096400 is 469032.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23096401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22294 + ... + 23306.

It is an arithmetic number, because the mean of its divisors is an integer number (649636).

Almost surely, 223096400 is an apocalyptic number.

23096400 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 23096400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38978160).

23096400 is an abundant number, since it is smaller than the sum of its proper divisors (54859920).

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

23096400 is a wasteful number, since it uses less digits than its factorization.

23096400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 23096400 is about 4805.8714090163. The cubic root of 23096400 is about 284.7834612497.

The spelling of 23096400 in words is "twenty-three million, ninety-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1013 1140 1200 1425 1520 1900 2026 2280 2850 3039 3800 4052 4560 5065 5700 6078 7600 8104 10130 11400 12156 15195 16208 19247 20260 22800 24312 25325 30390 38494 40520 48624 50650 57741 60780 75975 76988 81040 96235 101300 115482 121560 151950 153976 192470 202600 230964 243120 288705 303900 307952 384940 405200 461928 481175 577410 607800 769880 923856 962350 1154820 1215600 1443525 1539760 1924700 2309640 2887050 3849400 4619280 5774100 7698800 11548200 23096400