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276695040 = 211359007
BaseRepresentation
bin10000011111100…
…000100000000000
3201021122120020110
4100133200200000
51031313220130
643242311320
76566604036
oct2037404000
9637576213
10276695040
11132207096
12787b8540
134542b29b
1428a68556
1519458ab0
hex107e0800

276695040 has 96 divisors (see below), whose sum is σ = 885306240. Its totient is φ = 73777152.

The previous prime is 276695021. The next prime is 276695047. The reversal of 276695040 is 40596672.

276695040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 276695040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276695047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26217 + ... + 35223.

It is an arithmetic number, because the mean of its divisors is an integer number (9221940).

Almost surely, 2276695040 is an apocalyptic number.

276695040 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 276695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442653120).

276695040 is an abundant number, since it is smaller than the sum of its proper divisors (608611200).

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

276695040 is an equidigital number, since it uses as much as digits as its factorization.

276695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9037 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 276695040 is about 16634.1528188243. The cubic root of 276695040 is about 651.6290813097.

The spelling of 276695040 in words is "two hundred seventy-six million, six hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 9007 10240 15360 18014 27021 30720 36028 45035 54042 72056 90070 108084 135105 144112 180140 216168 270210 288224 360280 432336 540420 576448 720560 864672 1080840 1152896 1441120 1729344 2161680 2305792 2882240 3458688 4323360 4611584 5764480 6917376 8646720 9223168 11528960 13834752 17293440 18446336 23057920 27669504 34586880 46115840 55339008 69173760 92231680 138347520 276695040