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245974140 = 223251366523
BaseRepresentation
bin11101010100101…
…00010001111100
3122010211210002100
432222110101330
51000432133030
640224025100
76044513526
oct1652242174
9563753070
10245974140
11116934015
126a462190
133bc63139
142494ca16
15168db360
hexea9447c

245974140 has 36 divisors (see below), whose sum is σ = 746122104. Its totient is φ = 65593056.

The previous prime is 245974123. The next prime is 245974159. The reversal of 245974140 is 41479542.

It is a happy number.

245974140 is a `hidden beast` number, since 24 + 597 + 4 + 1 + 40 = 666.

245974140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 245974095 and 245974104.

It is a congruent number.

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, 683082 + ... + 683441.

It is an arithmetic number, because the mean of its divisors is an integer number (20725614).

Almost surely, 2245974140 is an apocalyptic number.

245974140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245974140 is an abundant number, since it is smaller than the sum of its proper divisors (500147964).

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

245974140 is a wasteful number, since it uses less digits than its factorization.

245974140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366538 (or 1366533 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 245974140 is about 15683.5627330017. The cubic root of 245974140 is about 626.5606989726.

The spelling of 245974140 in words is "two hundred forty-five million, nine hundred seventy-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1366523 2733046 4099569 5466092 6832615 8199138 12298707 13665230 16398276 20497845 24597414 27330460 40995690 49194828 61493535 81991380 122987070 245974140