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275440640 = 2105232339
BaseRepresentation
bin10000011010101…
…110010000000000
3201012021211112012
4100122232100000
51031003100030
643155352052
76553130636
oct2032562000
9635254465
10275440640
1113152a6a2
12782b2628
13450ac337
142881d356
15192ac095
hex106ae400

275440640 has 88 divisors (see below), whose sum is σ = 689757120. Its totient is φ = 105340928.

The previous prime is 275440631. The next prime is 275440651. The reversal of 275440640 is 46044572.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 275440597 and 275440606.

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, 116591 + ... + 118929.

Almost surely, 2275440640 is an apocalyptic number.

275440640 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 275440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344878560).

275440640 is an abundant number, since it is smaller than the sum of its proper divisors (414316480).

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

275440640 is a wasteful number, since it uses less digits than its factorization.

275440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 275440640 is about 16596.4044298758. The cubic root of 275440640 is about 650.6428669368.

The spelling of 275440640 in words is "two hundred seventy-five million, four hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 512 640 736 920 1024 1280 1472 1840 2339 2560 2944 3680 4678 5120 5888 7360 9356 11695 11776 14720 18712 23390 23552 29440 37424 46780 53797 58880 74848 93560 107594 117760 149696 187120 215188 268985 299392 374240 430376 537970 598784 748480 860752 1075940 1197568 1496960 1721504 2151880 2395136 2993920 3443008 4303760 5987840 6886016 8607520 11975680 13772032 17215040 27544064 34430080 55088128 68860160 137720320 275440640