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25564140 = 2233576763
BaseRepresentation
bin110000110000…
…1001111101100
31210002210102000
41201201033230
523021023030
62311532300
7430202010
oct141411754
953083360
1025564140
1113480798
12868a090
1353b0c14
143576540
15239e860
hex18613ec

25564140 has 96 divisors (see below), whose sum is σ = 90908160. Its totient is φ = 5842368.

The previous prime is 25564129. The next prime is 25564183. The reversal of 25564140 is 4146552.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399 + ... + 7161.

It is an arithmetic number, because the mean of its divisors is an integer number (946960).

Almost surely, 225564140 is an apocalyptic number.

25564140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25564140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45454080).

25564140 is an abundant number, since it is smaller than the sum of its proper divisors (65344020).

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

25564140 is a wasteful number, since it uses less digits than its factorization.

25564140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6788 (or 6780 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 25564140 is about 5056.0992869998. The cubic root of 25564140 is about 294.5848416589.

The spelling of 25564140 in words is "twenty-five million, five hundred sixty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 6763 13526 20289 27052 33815 40578 47341 60867 67630 81156 94682 101445 121734 135260 142023 182601 189364 202890 236705 243468 284046 304335 365202 405780 426069 473410 568092 608670 710115 730404 852138 913005 946820 1217340 1278207 1420230 1704276 1826010 2130345 2556414 2840460 3652020 4260690 5112828 6391035 8521380 12782070 25564140