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46768140 = 22325259823
BaseRepresentation
bin1011001001101…
…0000000001100
310021000001211100
42302122000030
543433040030
64350223100
71105344156
oct262320014
9107001740
1046768140
1124443661
12137b4a90
1398c6373
1462d5ad6
15418c360
hex2c9a00c

46768140 has 36 divisors (see below), whose sum is σ = 141863904. Its totient is φ = 12471456.

The previous prime is 46768121. The next prime is 46768153. The reversal of 46768140 is 4186764.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 46768095 and 46768104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129732 + ... + 130091.

It is an arithmetic number, because the mean of its divisors is an integer number (3940664).

Almost surely, 246768140 is an apocalyptic number.

It is an amenable number.

46768140 is an abundant number, since it is smaller than the sum of its proper divisors (95095764).

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

46768140 is a wasteful number, since it uses less digits than its factorization.

46768140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259838 (or 259833 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 46768140 is about 6838.7235651107. The cubic root of 46768140 is about 360.2881951520.

The spelling of 46768140 in words is "forty-six million, seven hundred sixty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 259823 519646 779469 1039292 1299115 1558938 2338407 2598230 3117876 3897345 4676814 5196460 7794690 9353628 11692035 15589380 23384070 46768140