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23020680 = 2335414679
BaseRepresentation
bin101011111010…
…0010010001000
31121022120102210
41113310102020
521343130210
62141225120
7366446454
oct127642210
947276383
1023020680
1111aa3861
1278621a0
134a00307
1430b3664
15204ae20
hex15f4488

23020680 has 64 divisors (see below), whose sum is σ = 70761600. Its totient is φ = 5987840.

The previous prime is 23020667. The next prime is 23020681. The reversal of 23020680 is 8602032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23020681) 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, 2581 + ... + 7259.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 223020680 is an apocalyptic number.

23020680 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 23020680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35380800).

23020680 is an abundant number, since it is smaller than the sum of its proper divisors (47740920).

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

23020680 is a wasteful number, since it uses less digits than its factorization.

23020680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734 (or 4730 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 23020680 is about 4797.9870779317. The cubic root of 23020680 is about 284.4719060310.

It can be divided in two parts, 230 and 20680, that added together give a triangular number (20910 = T204).

The spelling of 23020680 in words is "twenty-three million, twenty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4679 4920 9358 14037 18716 23395 28074 37432 46790 56148 70185 93580 112296 140370 187160 191839 280740 383678 561480 575517 767356 959195 1151034 1534712 1918390 2302068 2877585 3836780 4604136 5755170 7673560 11510340 23020680