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12573840 = 243552391
BaseRepresentation
bin101111111101…
…110010010000
3212122211001210
4233331302100
511204330330
61125300120
7211606266
oct57756220
925584053
1012573840
117108a04
124264640
1327b3256
141954436
1511858b0
hexbfdc90

12573840 has 40 divisors (see below), whose sum is σ = 38979648. Its totient is φ = 3352960.

The previous prime is 12573833. The next prime is 12573851. The reversal of 12573840 is 4837521.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12573798 and 12573807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25956 + ... + 26435.

Almost surely, 212573840 is an apocalyptic number.

12573840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12573840 is an abundant number, since it is smaller than the sum of its proper divisors (26405808).

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

12573840 is a wasteful number, since it uses less digits than its factorization.

12573840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52407 (or 52401 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 12573840 is about 3545.9610826968. The cubic root of 12573840 is about 232.5355246908.

The spelling of 12573840 in words is "twelve million, five hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 52391 104782 157173 209564 261955 314346 419128 523910 628692 785865 838256 1047820 1257384 1571730 2095640 2514768 3143460 4191280 6286920 12573840