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23416680 = 2335761457
BaseRepresentation
bin101100101010…
…0111101101000
31122001200122110
41121110331220
521443313210
62153522320
7403016130
oct131247550
948050573
1023416680
1112244331
127a133a0
134b0b631
143177ac0
1520c8420
hex1654f68

23416680 has 128 divisors (see below), whose sum is σ = 81780480. Its totient is φ = 5253120.

The previous prime is 23416663. The next prime is 23416681. The reversal of 23416680 is 8661432.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (23416681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51012 + ... + 51468.

It is an arithmetic number, because the mean of its divisors is an integer number (638910).

Almost surely, 223416680 is an apocalyptic number.

23416680 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 23416680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40890240).

23416680 is an abundant number, since it is smaller than the sum of its proper divisors (58363800).

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

23416680 is a wasteful number, since it uses less digits than its factorization.

23416680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 23416680 is about 4839.0784246590. The cubic root of 23416680 is about 286.0937961544.

The spelling of 23416680 in words is "twenty-three million, four hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 61 70 84 105 120 122 140 168 183 210 244 280 305 366 420 427 457 488 610 732 840 854 914 915 1220 1281 1371 1464 1708 1828 1830 2135 2285 2440 2562 2742 3199 3416 3656 3660 4270 4570 5124 5484 6398 6405 6855 7320 8540 9140 9597 10248 10968 12796 12810 13710 15995 17080 18280 19194 25592 25620 27420 27877 31990 38388 47985 51240 54840 55754 63980 76776 83631 95970 111508 127960 139385 167262 191940 195139 223016 278770 334524 383880 390278 418155 557540 585417 669048 780556 836310 975695 1115080 1170834 1561112 1672620 1951390 2341668 2927085 3345240 3902780 4683336 5854170 7805560 11708340 23416680