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128023620 = 223553127317
BaseRepresentation
bin1111010000101…
…11110001000100
322220220021101120
413220113301010
5230233223440
620411553540
73113116464
oct750276104
9286807346
10128023620
11662a204a
1236a5b8b0
13206a602a
1413007ba4
15b38cdd0
hex7a17c44

128023620 has 96 divisors (see below), whose sum is σ = 369266688. Its totient is φ = 33126912.

The previous prime is 128023619. The next prime is 128023627. The reversal of 128023620 is 26320821.

It is not an unprimeable number, because it can be changed into a prime (128023627) 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, 403702 + ... + 404018.

It is an arithmetic number, because the mean of its divisors is an integer number (3846528).

Almost surely, 2128023620 is an apocalyptic number.

128023620 is a gapful number since it is divisible by the number (10) 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 128023620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184633344).

128023620 is an abundant number, since it is smaller than the sum of its proper divisors (241243068).

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

128023620 is a wasteful number, since it uses less digits than its factorization.

128023620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 128023620 is about 11314.7523172184. The cubic root of 128023620 is about 503.9994173589. Note that the first 3 decimals are identical.

The spelling of 128023620 in words is "one hundred twenty-eight million, twenty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 127 159 212 254 265 317 318 381 508 530 634 635 636 762 795 951 1060 1268 1270 1524 1585 1590 1902 1905 2540 3170 3180 3804 3810 4755 6340 6731 7620 9510 13462 16801 19020 20193 26924 33602 33655 40259 40386 50403 67204 67310 80518 80772 84005 100806 100965 120777 134620 161036 168010 201295 201612 201930 241554 252015 336020 402590 403860 483108 504030 603885 805180 1008060 1207770 2133727 2415540 4267454 6401181 8534908 10668635 12802362 21337270 25604724 32005905 42674540 64011810 128023620