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128426676 = 223731149331
BaseRepresentation
bin1111010011110…
…10001010110100
322221122202021120
413221322022310
5230334123201
620424343540
73116415540
oct751721264
9287582246
10128426676
1166547954
1237014bb0
13207b7621
14130b0a20
15b41c536
hex7a7a2b4

128426676 has 96 divisors (see below), whose sum is σ = 356966400. Its totient is φ = 35164800.

The previous prime is 128426671. The next prime is 128426693. The reversal of 128426676 is 676624821.

It is a super-2 number, since 2×1284266762 = 32986822216817952, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128426671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387831 + ... + 388161.

It is an arithmetic number, because the mean of its divisors is an integer number (3718400).

Almost surely, 2128426676 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 128426676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178483200).

128426676 is an abundant number, since it is smaller than the sum of its proper divisors (228539724).

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

128426676 is a wasteful number, since it uses less digits than its factorization.

128426676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 523 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 128426676 is about 11332.5494042603. The cubic root of 128426676 is about 504.5277760575.

The spelling of 128426676 in words is "one hundred twenty-eight million, four hundred twenty-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 149 186 217 298 331 372 434 447 596 651 662 868 894 993 1043 1302 1324 1788 1986 2086 2317 2604 3129 3972 4172 4619 4634 6258 6951 9238 9268 10261 12516 13857 13902 18476 20522 27714 27804 30783 32333 41044 49319 55428 61566 64666 71827 96999 98638 123132 129332 143654 147957 193998 197276 215481 287308 295914 345233 387996 430962 591828 690466 861924 1035699 1380932 1528889 2071398 3057778 4142796 4586667 6115556 9173334 10702223 18346668 21404446 32106669 42808892 64213338 128426676