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25714640 = 245747977
BaseRepresentation
bin110001000010…
…1111111010000
31210101102212002
41202011333100
523040332030
62315053132
7431366540
oct142057720
953342762
1025714640
1113573876
1287411a8
135434583
1435b5320
1523ce245
hex1885fd0

25714640 has 80 divisors (see below), whose sum is σ = 69852672. Its totient is φ = 8620032.

The previous prime is 25714613. The next prime is 25714643. The reversal of 25714640 is 4641752.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×257146402 = 1322485420659200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25714643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25832 + ... + 26808.

Almost surely, 225714640 is an apocalyptic number.

25714640 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 25714640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34926336).

25714640 is an abundant number, since it is smaller than the sum of its proper divisors (44138032).

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

25714640 is a wasteful number, since it uses less digits than its factorization.

25714640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 25714640 is about 5070.9604612933. The cubic root of 25714640 is about 295.1617995873.

The spelling of 25714640 in words is "twenty-five million, seven hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 140 188 235 280 329 376 470 560 658 752 940 977 1316 1645 1880 1954 2632 3290 3760 3908 4885 5264 6580 6839 7816 9770 13160 13678 15632 19540 26320 27356 34195 39080 45919 54712 68390 78160 91838 109424 136780 183676 229595 273560 321433 367352 459190 547120 642866 734704 918380 1285732 1607165 1836760 2571464 3214330 3673520 5142928 6428660 12857320 25714640