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23350680 = 233457207
BaseRepresentation
bin101100100010…
…0110110011000
31121221100010000
41121010312120
521434210210
62152253000
7402322533
oct131046630
947840100
1023350680
11121a9791
1279a1160
134ab7592
14315ba1a
1520b3ac0
hex1644d98

23350680 has 80 divisors (see below), whose sum is σ = 78495120. Its totient is φ = 6225984.

The previous prime is 23350669. The next prime is 23350697. The reversal of 23350680 is 8605332.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 364 + ... + 6843.

It is an arithmetic number, because the mean of its divisors is an integer number (981189).

Almost surely, 223350680 is an apocalyptic number.

23350680 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 23350680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39247560).

23350680 is an abundant number, since it is smaller than the sum of its proper divisors (55144440).

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

23350680 is a wasteful number, since it uses less digits than its factorization.

23350680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7230 (or 7217 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 23350680 is about 4832.2541323900. The cubic root of 23350680 is about 285.8247577564.

It can be divided in two parts, 233506 and 80, that added together give a triangular number (233586 = T683).

The spelling of 23350680 in words is "twenty-three million, three hundred fifty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 7207 14414 21621 28828 36035 43242 57656 64863 72070 86484 108105 129726 144140 172968 194589 216210 259452 288280 324315 389178 432420 518904 583767 648630 778356 864840 972945 1167534 1297260 1556712 1945890 2335068 2594520 2918835 3891780 4670136 5837670 7783560 11675340 23350680