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128876640 = 2535268493
BaseRepresentation
bin1111010111010…
…00000001100000
322222111121111220
413223220001200
5230443023030
620442135040
73123301434
oct753500140
9288447456
10128876640
1166824a22
12371b1480
1320914389
141318a9c4
15b4aaa10
hex7ae8060

128876640 has 48 divisors (see below), whose sum is σ = 405962928. Its totient is φ = 34366976.

The previous prime is 128876617. The next prime is 128876663. The reversal of 128876640 is 46678821.

It is an interprime number because it is at equal distance from previous prime (128876617) and next prime (128876663).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 128876592 and 128876601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133767 + ... + 134726.

It is an arithmetic number, because the mean of its divisors is an integer number (8457561).

Almost surely, 2128876640 is an apocalyptic number.

128876640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128876640 is an abundant number, since it is smaller than the sum of its proper divisors (277086288).

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

128876640 is a wasteful number, since it uses less digits than its factorization.

128876640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268511 (or 268503 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 128876640 is about 11352.3847714918. The cubic root of 128876640 is about 505.1163212750.

The spelling of 128876640 in words is "one hundred twenty-eight million, eight hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 268493 536986 805479 1073972 1342465 1610958 2147944 2684930 3221916 4027395 4295888 5369860 6443832 8054790 8591776 10739720 12887664 16109580 21479440 25775328 32219160 42958880 64438320 128876640