Search a number
-
+
128719044 = 2235151877
BaseRepresentation
bin1111010110000…
…01100011000100
322222012121100000
413223001203010
5230423002134
620434521300
73122044116
oct753014304
9288177300
10128719044
1166727583
1237136230
132088a71c
14131493b6
15b478e99
hex7ac18c4

128719044 has 72 divisors (see below), whose sum is σ = 340045888. Its totient is φ = 42573600.

The previous prime is 128719043. The next prime is 128719051. The reversal of 128719044 is 440917821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (128719043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146334 + ... + 147210.

Almost surely, 2128719044 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 128719044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170022944).

128719044 is an abundant number, since it is smaller than the sum of its proper divisors (211326844).

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

128719044 is a wasteful number, since it uses less digits than its factorization.

128719044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 128719044 is about 11345.4415515660. The cubic root of 128719044 is about 504.9103445061.

The spelling of 128719044 in words is "one hundred twenty-eight million, seven hundred nineteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 151 162 243 302 324 453 486 604 877 906 972 1359 1754 1812 2631 2718 3508 4077 5262 5436 7893 8154 10524 12231 15786 16308 23679 24462 31572 36693 47358 48924 71037 73386 94716 132427 142074 146772 213111 264854 284148 397281 426222 529708 794562 852444 1191843 1589124 2383686 3575529 4767372 7151058 10726587 14302116 21453174 32179761 42906348 64359522 128719044