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128013940 = 2256400697
BaseRepresentation
bin1111010000101…
…01011001110100
322220212210010001
413220111121310
5230232421230
620411441044
73113046325
oct750253164
9286783101
10128013940
116629584a
1236a56184
13206a17c2
141300444c
15b38a0ca
hex7a15674

128013940 has 12 divisors (see below), whose sum is σ = 268829316. Its totient is φ = 51205568.

The previous prime is 128013937. The next prime is 128013953. The reversal of 128013940 is 49310821.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28772496 + 99241444 = 5364^2 + 9962^2 .

It is a junction number, because it is equal to n+sod(n) for n = 128013899 and 128013908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3200329 + ... + 3200368.

It is an arithmetic number, because the mean of its divisors is an integer number (22402443).

Almost surely, 2128013940 is an apocalyptic number.

128013940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128013940 is an abundant number, since it is smaller than the sum of its proper divisors (140815376).

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

128013940 is a wasteful number, since it uses less digits than its factorization.

128013940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6400706 (or 6400704 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 128013940 is about 11314.3245489954. The cubic root of 128013940 is about 503.9867143974.

The spelling of 128013940 in words is "one hundred twenty-eight million, thirteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 6400697 12801394 25602788 32003485 64006970 128013940