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270083072 = 210741919
BaseRepresentation
bin10000000110010…
…010010000000000
3200211012122022202
4100012102100000
51023120124242
642444452332
76456445130
oct2006222000
9624178282
10270083072
11129500456
127654a0a8
1343c5488c
1427c26ac0
1518a9e932
hex10192400

270083072 has 88 divisors (see below), whose sum is σ = 632768640. Its totient is φ = 112803840.

The previous prime is 270083053. The next prime is 270083117. The reversal of 270083072 is 270380072.

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, 293429 + ... + 294347.

Almost surely, 2270083072 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 270083072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316384320).

270083072 is an abundant number, since it is smaller than the sum of its proper divisors (362685568).

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

270083072 is an equidigital number, since it uses as much as digits as its factorization.

270083072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 270083072 is about 16434.2043312112. The cubic root of 270083072 is about 646.3966865824.

The spelling of 270083072 in words is "two hundred seventy million, eighty-three thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 256 287 328 448 512 574 656 896 919 1024 1148 1312 1792 1838 2296 2624 3584 3676 4592 5248 6433 7168 7352 9184 10496 12866 14704 18368 20992 25732 29408 36736 37679 41984 51464 58816 73472 75358 102928 117632 146944 150716 205856 235264 263753 293888 301432 411712 470528 527506 602864 823424 941056 1055012 1205728 1646848 2110024 2411456 3293696 4220048 4822912 6587392 8440096 9645824 16880192 19291648 33760384 38583296 67520768 135041536 270083072