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25673680 = 245615261
BaseRepresentation
bin110000111101…
…1111111010000
31210022100200001
41201323333100
523033024210
62314135344
7431136244
oct141737720
953270601
1025673680
111354601a
128721554
13541ba36
1435a4424
1523c203a
hex187bfd0

25673680 has 40 divisors (see below), whose sum is σ = 60681384. Its totient is φ = 10099200.

The previous prime is 25673653. The next prime is 25673699. The reversal of 25673680 is 8637652.

It can be written as a sum of positive squares in 4 ways, for example, as 553536 + 25120144 = 744^2 + 5012^2 .

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

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, 2250 + ... + 7510.

Almost surely, 225673680 is an apocalyptic number.

25673680 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 25673680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30340692).

25673680 is an abundant number, since it is smaller than the sum of its proper divisors (35007704).

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

25673680 is a wasteful number, since it uses less digits than its factorization.

25673680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 25673680 is about 5066.9201690968. The cubic root of 25673680 is about 295.0049984789.

The spelling of 25673680 in words is "twenty-five million, six hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 5261 10522 21044 26305 42088 52610 84176 105220 210440 320921 420880 641842 1283684 1604605 2567368 3209210 5134736 6418420 12836840 25673680