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2141487180 = 223357280933
BaseRepresentation
bin111111110100100…
…1000000001001100
312112020120211011000
41333221020001030
513341210042210
6552255300300
7104032224600
oct17751100114
95466524130
102141487180
119a98a5018
124b921a690
132818855a1
141645a9500
15c800eac0
hex7fa4804c

2141487180 has 144 divisors (see below), whose sum is σ = 7750239840. Its totient is φ = 489476736.

The previous prime is 2141487097. The next prime is 2141487181. The reversal of 2141487180 is 817841412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2141487181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14007 + ... + 66926.

It is an arithmetic number, because the mean of its divisors is an integer number (53821110).

Almost surely, 22141487180 is an apocalyptic number.

2141487180 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 2141487180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875119920).

2141487180 is an abundant number, since it is smaller than the sum of its proper divisors (5608752660).

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

2141487180 is a wasteful number, since it uses less digits than its factorization.

2141487180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80965 (or 80950 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 2141487180 is about 46276.2053327625. The cubic root of 2141487180 is about 1288.9571886066.

The spelling of 2141487180 in words is "two billion, one hundred forty-one million, four hundred eighty-seven thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4410 5292 6615 8820 13230 26460 80933 161866 242799 323732 404665 485598 566531 728397 809330 971196 1133062 1213995 1456794 1618660 1699593 2185191 2266124 2427990 2832655 2913588 3399186 3641985 3965717 4370382 4855980 5098779 5665310 6798372 7283970 7931434 8497965 8740764 10197558 10925955 11330620 11897151 14567940 15296337 15862868 16995930 19828585 20395116 21851910 23794302 25493895 30592674 33991860 35691453 39657170 43703820 47588604 50987790 59485755 61185348 71382906 76481685 79314340 101975580 107074359 118971510 142765812 152963370 178457265 214148718 237943020 305926740 356914530 428297436 535371795 713829060 1070743590 2141487180