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25143680 = 275172311
BaseRepresentation
bin101111111101…
…0100110000000
31202022102122102
41133322212000
522414044210
62254525532
7423501122
oct137724600
952272572
1025143680
1113213901
1285068a8
135294723
1434a7212
152319ea5
hex17fa980

25143680 has 64 divisors (see below), whose sum is σ = 63672480. Its totient is φ = 9461760.

The previous prime is 25143653. The next prime is 25143689. The reversal of 25143680 is 8634152.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25143689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9725 + ... + 12035.

Almost surely, 225143680 is an apocalyptic number.

25143680 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 25143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31836240).

25143680 is an abundant number, since it is smaller than the sum of its proper divisors (38528800).

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

25143680 is a wasteful number, since it uses less digits than its factorization.

25143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 25143680 is about 5014.3474151678. The cubic root of 25143680 is about 292.9608679349.

The spelling of 25143680 in words is "twenty-five million, one hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2311 2720 4622 5440 9244 10880 11555 18488 23110 36976 39287 46220 73952 78574 92440 147904 157148 184880 196435 295808 314296 369760 392870 628592 739520 785740 1257184 1479040 1571480 2514368 3142960 5028736 6285920 12571840 25143680