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23839680 = 2635191307
BaseRepresentation
bin101101011110…
…0001111000000
31122212011220010
41122330033000
522100332210
62210544520
7406430304
oct132741700
948764803
1023839680
1112503117
127b98140
134c29027
143247d04
15215d920
hex16bc3c0

23839680 has 112 divisors (see below), whose sum is σ = 79735680. Its totient is φ = 6018048.

The previous prime is 23839667. The next prime is 23839687. The reversal of 23839680 is 8693832.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23839687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17587 + ... + 18893.

Almost surely, 223839680 is an apocalyptic number.

23839680 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 23839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39867840).

23839680 is an abundant number, since it is smaller than the sum of its proper divisors (55896000).

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

23839680 is a wasteful number, since it uses less digits than its factorization.

23839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 23839680 is about 4882.5894769067. The cubic root of 23839680 is about 287.8061967742.

The spelling of 23839680 in words is "twenty-three million, eight hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1307 1520 1824 2280 2614 3040 3648 3921 4560 5228 6080 6535 7842 9120 10456 13070 15684 18240 19605 20912 24833 26140 31368 39210 41824 49666 52280 62736 74499 78420 83648 99332 104560 124165 125472 148998 156840 198664 209120 248330 250944 297996 313680 372495 397328 418240 496660 595992 627360 744990 794656 993320 1191984 1254720 1489980 1589312 1986640 2383968 2979960 3973280 4767936 5959920 7946560 11919840 23839680