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128788044 = 223711212671
BaseRepresentation
bin1111010110100…
…10011001001100
322222100002222120
413223102121030
5230432204134
620440212540
73122452230
oct753223114
9288302876
10128788044
1166774400
123716a150
13208b2c58
14131665c0
15b48e649
hex7ad264c

128788044 has 72 divisors (see below), whose sum is σ = 377524224. Its totient is φ = 33448800.

The previous prime is 128788031. The next prime is 128788081. The reversal of 128788044 is 440887821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 128787987 and 128788005.

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, 3829 + ... + 16499.

It is an arithmetic number, because the mean of its divisors is an integer number (5243392).

Almost surely, 2128788044 is an apocalyptic number.

128788044 is a gapful number since it is divisible by the number (14) 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 128788044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188762112).

128788044 is an abundant number, since it is smaller than the sum of its proper divisors (248736180).

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

128788044 is a wasteful number, since it uses less digits than its factorization.

128788044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12707 (or 12694 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 128788044 is about 11348.4820130271. The cubic root of 128788044 is about 505.0005476581. Note that the first 3 decimals are identical.

The spelling of 128788044 in words is "one hundred twenty-eight million, seven hundred eighty-eight thousand, forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1694 2541 3388 5082 10164 12671 25342 38013 50684 76026 88697 139381 152052 177394 266091 278762 354788 418143 532182 557524 836286 975667 1064364 1533191 1672572 1951334 2927001 3066382 3902668 4599573 5854002 6132764 9199146 10732337 11708004 18398292 21464674 32197011 42929348 64394022 128788044