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128010420 = 223251634363
BaseRepresentation
bin1111010000101…
…00100010110100
322220212121021200
413220110202310
5230232313140
620411412500
73113033136
oct750244264
9286777250
10128010420
116629313a
1236a54130
13206a0015
1413003056
15b389030
hex7a148b4

128010420 has 72 divisors (see below), whose sum is σ = 390770016. Its totient is φ = 33918912.

The previous prime is 128010419. The next prime is 128010451. The reversal of 128010420 is 24010821.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 128010393 and 128010402.

It is a congruent number.

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, 27159 + ... + 31521.

Almost surely, 2128010420 is an apocalyptic number.

128010420 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 128010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195385008).

128010420 is an abundant number, since it is smaller than the sum of its proper divisors (262759596).

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

128010420 is a wasteful number, since it uses less digits than its factorization.

128010420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4541 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 128010420 is about 11314.1689929044. The cubic root of 128010420 is about 503.9820949799.

The spelling of 128010420 in words is "one hundred twenty-eight million, ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 163 180 326 489 652 815 978 1467 1630 1956 2445 2934 3260 4363 4890 5868 7335 8726 9780 13089 14670 17452 21815 26178 29340 39267 43630 52356 65445 78534 87260 130890 157068 196335 261780 392670 711169 785340 1422338 2133507 2844676 3555845 4267014 6400521 7111690 8534028 10667535 12801042 14223380 21335070 25602084 32002605 42670140 64005210 128010420