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270073056 = 25311298819
BaseRepresentation
bin10000000110001…
…111110011100000
3200211012010120210
4100012033303200
51023114314211
642444334120
76456404001
oct2006176340
9624163523
10270073056
111294a3980
1276544340
1343c50156
1427c231a8
1518a9b9a6
hex1018fce0

270073056 has 96 divisors (see below), whose sum is σ = 800150400. Its totient is φ = 79009280.

The previous prime is 270073039. The next prime is 270073093. The reversal of 270073056 is 650370072.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26215 + ... + 35033.

It is an arithmetic number, because the mean of its divisors is an integer number (8334900).

Almost surely, 2270073056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270073056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400075200).

270073056 is an abundant number, since it is smaller than the sum of its proper divisors (530077344).

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

270073056 is a wasteful number, since it uses less digits than its factorization.

270073056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8872 (or 8864 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 270073056 is about 16433.8995980869. The cubic root of 270073056 is about 646.3886959677.

The spelling of 270073056 in words is "two hundred seventy million, seventy-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 66 87 88 96 116 132 174 176 232 264 319 348 352 464 528 638 696 928 957 1056 1276 1392 1914 2552 2784 3828 5104 7656 8819 10208 15312 17638 26457 30624 35276 52914 70552 97009 105828 141104 194018 211656 255751 282208 291027 388036 423312 511502 582054 767253 776072 846624 1023004 1164108 1534506 1552144 2046008 2328216 2813261 3069012 3104288 4092016 4656432 5626522 6138024 8184032 8439783 9312864 11253044 12276048 16879566 22506088 24552096 33759132 45012176 67518264 90024352 135036528 270073056