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270252640 = 2557234471
BaseRepresentation
bin10000000110111…
…011101001100000
3200211112020221001
4100012323221200
51023141041030
642452241344
76461052400
oct2006735140
9624466831
10270252640
11129606899
1276610254
1343cb3b08
1427c6c800
1518ad4cca
hex101bba60

270252640 has 72 divisors (see below), whose sum is σ = 742733712. Its totient is φ = 92655360.

The previous prime is 270252617. The next prime is 270252641. The reversal of 270252640 is 46252072.

270252640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 270252599 and 270252608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270252641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9396 + ... + 25075.

It is an arithmetic number, because the mean of its divisors is an integer number (10315746).

Almost surely, 2270252640 is an apocalyptic number.

270252640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

270252640 is an abundant number, since it is smaller than the sum of its proper divisors (472481072).

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

270252640 is a wasteful number, since it uses less digits than its factorization.

270252640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34500 (or 34485 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 270252640 is about 16439.3625180540. The cubic root of 270252640 is about 646.5319354176.

The spelling of 270252640 in words is "two hundred seventy million, two hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 34471 68942 137884 172355 241297 275768 344710 482594 551536 689420 965188 1103072 1206485 1378840 1689079 1930376 2412970 2757680 3378158 3860752 4825940 5515360 6756316 7721504 8445395 9651880 13512632 16890790 19303760 27025264 33781580 38607520 54050528 67563160 135126320 270252640