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2059949580 = 22351310924229
BaseRepresentation
bin111101011001000…
…0101011000001100
312022120011021120220
41322302011120030
513204321341310
6540223511340
7102022165623
oct17262053014
95276137526
102059949580
11967873677
12495a58550
1326aa073a0
141578226ba
15c0ca5670
hex7ac8560c

2059949580 has 96 divisors (see below), whose sum is σ = 6268785600. Its totient is φ = 502391808.

The previous prime is 2059949533. The next prime is 2059949587. The reversal of 2059949580 is 859499502.

2059949580 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2059949587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72906 + ... + 97134.

It is an arithmetic number, because the mean of its divisors is an integer number (65299850).

Almost surely, 22059949580 is an apocalyptic number.

2059949580 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 2059949580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134392800).

2059949580 is an abundant number, since it is smaller than the sum of its proper divisors (4208836020).

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

2059949580 is a wasteful number, since it uses less digits than its factorization.

2059949580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24363 (or 24361 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The square root of 2059949580 is about 45386.6674255777. The cubic root of 2059949580 is about 1272.3859460359.

The spelling of 2059949580 in words is "two billion, fifty-nine million, nine hundred forty-nine thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 109 130 156 195 218 260 327 390 436 545 654 780 1090 1308 1417 1635 2180 2834 3270 4251 5668 6540 7085 8502 14170 17004 21255 24229 28340 42510 48458 72687 85020 96916 121145 145374 242290 290748 314977 363435 484580 629954 726870 944931 1259908 1453740 1574885 1889862 2640961 3149770 3779724 4724655 5281922 6299540 7922883 9449310 10563844 13204805 15845766 18898620 26409610 31691532 34332493 39614415 52819220 68664986 79228830 102997479 137329972 158457660 171662465 205994958 343324930 411989916 514987395 686649860 1029974790 2059949580