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23790096 = 24321123653
BaseRepresentation
bin101101011000…
…0001000010000
31122202122212200
41122300020100
522042240341
62205523200
7406132611
oct132601020
948678780
1023790096
1112479940
127b73500
134c0c5a5
143233c08
15214ddb6
hex16b0210

23790096 has 120 divisors (see below), whose sum is σ = 75905856. Its totient is φ = 6885120.

The previous prime is 23790083. The next prime is 23790101. The reversal of 23790096 is 69009732.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23790096.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36106 + ... + 36758.

Almost surely, 223790096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23790096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37952928).

23790096 is an abundant number, since it is smaller than the sum of its proper divisors (52115760).

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

23790096 is a wasteful number, since it uses less digits than its factorization.

23790096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 23790096 is about 4877.5092004014. The cubic root of 23790096 is about 287.6065228457.

The spelling of 23790096 in words is "twenty-three million, seven hundred ninety thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 33 36 44 46 48 66 69 72 88 92 99 132 138 144 176 184 198 207 253 264 276 368 396 414 506 528 552 653 759 792 828 1012 1104 1306 1518 1584 1656 1959 2024 2277 2612 3036 3312 3918 4048 4554 5224 5877 6072 7183 7836 9108 10448 11754 12144 14366 15019 15672 18216 21549 23508 28732 30038 31344 36432 43098 45057 47016 57464 60076 64647 86196 90114 94032 114928 120152 129294 135171 165209 172392 180228 240304 258588 270342 330418 344784 360456 495627 517176 540684 660836 720912 991254 1034352 1081368 1321672 1486881 1982508 2162736 2643344 2973762 3965016 5947524 7930032 11895048 23790096