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128858040 = 23385491
BaseRepresentation
bin1111010111000…
…11011110111000
322222110200000000
413223203132320
5230441424130
620441513000
73123163263
oct753433670
9288420000
10128858040
1166811a53
12371a2760
1320908a7c
1413183cda
15b4a5260
hex7ae37b8

128858040 has 144 divisors (see below), whose sum is σ = 435759480. Its totient is φ = 34292160.

The previous prime is 128858021. The next prime is 128858053. The reversal of 128858040 is 40858821.

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

It is a junction number, because it is equal to n+sod(n) for n = 128857986 and 128858004.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 262195 + ... + 262685.

Almost surely, 2128858040 is an apocalyptic number.

128858040 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 128858040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217879740).

128858040 is an abundant number, since it is smaller than the sum of its proper divisors (306901440).

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

128858040 is an frugal number, since it uses more digits than its factorization.

128858040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 128858040 is about 11351.5655307979. The cubic root of 128858040 is about 505.0920199597.

The spelling of 128858040 in words is "one hundred twenty-eight million, eight hundred fifty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 491 540 648 729 810 972 982 1080 1215 1458 1473 1620 1944 1964 2187 2430 2455 2916 2946 3240 3645 3928 4374 4419 4860 4910 5832 5892 6561 7290 7365 8748 8838 9720 9820 10935 11784 13122 13257 14580 14730 17496 17676 19640 21870 22095 26244 26514 29160 29460 32805 35352 39771 43740 44190 52488 53028 58920 65610 66285 79542 87480 88380 106056 119313 131220 132570 159084 176760 198855 238626 262440 265140 318168 357939 397710 477252 530280 596565 715878 795420 954504 1073817 1193130 1431756 1590840 1789695 2147634 2386260 2863512 3221451 3579390 4295268 4772520 5369085 6442902 7158780 8590536 10738170 12885804 14317560 16107255 21476340 25771608 32214510 42952680 64429020 128858040