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23100240 = 2435293319
BaseRepresentation
bin101100000011…
…1101101010000
31121110121120110
41120013231100
521403201430
62143041320
7400230432
oct130075520
947417513
1023100240
1112048609
1278a0240
134a2a5a7
1430d4652
1520647b0
hex1607b50

23100240 has 80 divisors (see below), whose sum is σ = 74102400. Its totient is φ = 5945856.

The previous prime is 23100221. The next prime is 23100241. The reversal of 23100240 is 4200132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23100241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5301 + ... + 8619.

It is an arithmetic number, because the mean of its divisors is an integer number (926280).

Almost surely, 223100240 is an apocalyptic number.

23100240 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 23100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37051200).

23100240 is an abundant number, since it is smaller than the sum of its proper divisors (51002160).

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

23100240 is a wasteful number, since it uses less digits than its factorization.

23100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 23100240 is about 4806.2709037257. The cubic root of 23100240 is about 284.7992430439.

Adding to 23100240 its reverse (4200132), we get a palindrome (27300372).

The spelling of 23100240 in words is "twenty-three million, one hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3319 3480 6638 6960 9957 13276 16595 19914 26552 33190 39828 49785 53104 66380 79656 96251 99570 132760 159312 192502 199140 265520 288753 385004 398280 481255 577506 770008 796560 962510 1155012 1443765 1540016 1925020 2310024 2887530 3850040 4620048 5775060 7700080 11550120 23100240