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2180867328 = 2834105173
BaseRepresentation
bin1000000111111101…
…0110010100000000
312121222200112120000
42001333112110000
513431300223303
61000223320000
7105021031533
oct20177262400
95558615500
102180867328
11a1a0519a2
1250a450000
13289a92c53
141698daa1a
15cb6dcda3
hex81fd6500

2180867328 has 90 divisors (see below), whose sum is σ = 6503013594. Its totient is φ = 726948864.

The previous prime is 2180867323. The next prime is 2180867333. The reversal of 2180867328 is 8237680812.

It is an interprime number because it is at equal distance from previous prime (2180867323) and next prime (2180867333).

It can be written as a sum of positive squares in only one way, i.e., 1602561024 + 578306304 = 40032^2 + 24048^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180867323) 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 9 ways as a sum of consecutive naturals, for example, 31851 + ... + 73322.

Almost surely, 22180867328 is an apocalyptic number.

It is an amenable number.

2180867328 is an abundant number, since it is smaller than the sum of its proper divisors (4322146266).

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

2180867328 is an equidigital number, since it uses as much as digits as its factorization.

2180867328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105201 (or 105178 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2180867328 is about 46699.7572584698. The cubic root of 2180867328 is about 1296.8101929917.

The spelling of 2180867328 in words is "two billion, one hundred eighty million, eight hundred sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 105173 210346 315519 420692 631038 841384 946557 1262076 1682768 1893114 2524152 2839671 3365536 3786228 5048304 5679342 6731072 7572456 8519013 10096608 11358684 13462144 15144912 17038026 20193216 22717368 26924288 30289824 34076052 40386432 45434736 60579648 68152104 80772864 90869472 121159296 136304208 181738944 242318592 272608416 363477888 545216832 726955776 1090433664 2180867328