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254364240 = 24351381527
BaseRepresentation
bin11110010100101…
…00101001010000
3122201122001010210
433022110221100
51010104123430
641123524120
76206026464
oct1712245120
9581561123
10254364240
11120644689
1271229640
134090ccb0
1425ad44a4
15174e72b0
hexf294a50

254364240 has 80 divisors (see below), whose sum is σ = 849195648. Its totient is φ = 62611968.

The previous prime is 254364239. The next prime is 254364241. The reversal of 254364240 is 42463452.

254364240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (254364239) and next prime (254364241).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 254364198 and 254364207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254364241) 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, 37644 + ... + 43883.

Almost surely, 2254364240 is an apocalyptic number.

254364240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254364240 is an abundant number, since it is smaller than the sum of its proper divisors (594831408).

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

254364240 is a wasteful number, since it uses less digits than its factorization.

254364240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81556 (or 81550 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 254364240 is about 15948.8005818619. The cubic root of 254364240 is about 633.6051304936.

The spelling of 254364240 in words is "two hundred fifty-four million, three hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 81527 163054 244581 326108 407635 489162 652216 815270 978324 1059851 1222905 1304432 1630540 1956648 2119702 2445810 3179553 3261080 3913296 4239404 4891620 5299255 6359106 6522160 8478808 9783240 10598510 12718212 15897765 16957616 19566480 21197020 25436424 31795530 42394040 50872848 63591060 84788080 127182120 254364240