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580072280 = 235195314401
BaseRepresentation
bin100010100100110…
…011001101011000
31111102111201120112
4202210303031120
52141444303110
6133320543452
720242350554
oct4244631530
91442451515
10580072280
11278487987
12142321b88
139323c348
145707a864
1535dd3405
hex22933358

580072280 has 64 divisors (see below), whose sum is σ = 1399874400. Its totient is φ = 215654400.

The previous prime is 580072271. The next prime is 580072289. The reversal of 580072280 is 82270085.

It is an interprime number because it is at equal distance from previous prime (580072271) and next prime (580072289).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580072289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33080 + ... + 47480.

Almost surely, 2580072280 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 580072280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699937200).

580072280 is an abundant number, since it is smaller than the sum of its proper divisors (819802120).

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

580072280 is a wasteful number, since it uses less digits than its factorization.

580072280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14484 (or 14480 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 580072280 is about 24084.6897426560. The cubic root of 580072280 is about 833.9897327875.

The spelling of 580072280 in words is "five hundred eighty million, seventy-two thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 53 76 95 106 152 190 212 265 380 424 530 760 1007 1060 2014 2120 4028 5035 8056 10070 14401 20140 28802 40280 57604 72005 115208 144010 273619 288020 547238 576040 763253 1094476 1368095 1526506 2188952 2736190 3053012 3816265 5472380 6106024 7632530 10944760 14501807 15265060 29003614 30530120 58007228 72509035 116014456 145018070 290036140 580072280