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23800128 = 2631159191
BaseRepresentation
bin101101011001…
…0100101000000
31122210011122020
41122302211000
522043101003
62210041440
7406204062
oct132624500
948704566
1023800128
1112486430
127b79280
134c14021
143237732
152151d53
hex16b2940

23800128 has 112 divisors (see below), whose sum is σ = 70225920. Its totient is φ = 7052800.

The previous prime is 23800111. The next prime is 23800151. The reversal of 23800128 is 82100832.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23800098 and 23800107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124513 + ... + 124703.

Almost surely, 223800128 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 23800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35112960).

23800128 is an abundant number, since it is smaller than the sum of its proper divisors (46425792).

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

23800128 is a wasteful number, since it uses less digits than its factorization.

23800128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 23800128 is about 4878.5374857635. The cubic root of 23800128 is about 287.6469439124.

The spelling of 23800128 in words is "twenty-three million, eight hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 64 66 88 96 118 132 176 177 191 192 236 264 352 354 382 472 528 573 649 704 708 764 944 1056 1146 1298 1416 1528 1888 1947 2101 2112 2292 2596 2832 3056 3776 3894 4202 4584 5192 5664 6112 6303 7788 8404 9168 10384 11269 11328 12224 12606 15576 16808 18336 20768 22538 25212 31152 33616 33807 36672 41536 45076 50424 62304 67232 67614 90152 100848 123959 124608 134464 135228 180304 201696 247918 270456 360608 371877 403392 495836 540912 721216 743754 991672 1081824 1487508 1983344 2163648 2975016 3966688 5950032 7933376 11900064 23800128