Search a number
-
+
128825004 = 2237111071303
BaseRepresentation
bin1111010110110…
…11011010101100
322222101222200110
413223123122230
5230434400004
620441100020
73122665050
oct753333254
9288358613
10128825004
116679a150
1237187610
13208c6a19
1413175c60
15b49a589
hex7adb6ac

128825004 has 96 divisors (see below), whose sum is σ = 378556416. Its totient is φ = 33122880.

The previous prime is 128825003. The next prime is 128825051. The reversal of 128825004 is 400528821.

It is not an unprimeable number, because it can be changed into a prime (128825003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98217 + ... + 99519.

It is an arithmetic number, because the mean of its divisors is an integer number (3943296).

Almost surely, 2128825004 is an apocalyptic number.

128825004 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 128825004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189278208).

128825004 is an abundant number, since it is smaller than the sum of its proper divisors (249731412).

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

128825004 is a wasteful number, since it uses less digits than its factorization.

128825004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 128825004 is about 11350.1103078340. The cubic root of 128825004 is about 505.0488519221.

The spelling of 128825004 in words is "one hundred twenty-eight million, eight hundred twenty-five thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 107 132 154 214 231 308 321 428 462 642 749 924 1177 1284 1303 1498 2247 2354 2606 2996 3531 3909 4494 4708 5212 7062 7818 8239 8988 9121 14124 14333 15636 16478 18242 24717 27363 28666 32956 36484 42999 49434 54726 57332 85998 98868 100331 109452 139421 171996 200662 278842 300993 401324 418263 557684 601986 836526 975947 1203972 1533631 1673052 1951894 2927841 3067262 3903788 4600893 5855682 6134524 9201786 10735417 11711364 18403572 21470834 32206251 42941668 64412502 128825004