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2051066460 = 2235437111197
BaseRepresentation
bin111101001000000…
…1100101001011100
312021221102222020110
41322100030221130
513200033111320
6535305250020
7101553530412
oct17220145134
95257388213
102051066460
11962856653
12492a93910
13268c16cc1
1415658d2b2
15c00ed5e0
hex7a40ca5c

2051066460 has 96 divisors (see below), whose sum is σ = 5959844352. Its totient is φ = 526659840.

The previous prime is 2051066453. The next prime is 2051066471. The reversal of 2051066460 is 646601502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177582 + ... + 188778.

It is an arithmetic number, because the mean of its divisors is an integer number (62081712).

Almost surely, 22051066460 is an apocalyptic number.

2051066460 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 2051066460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979922176).

2051066460 is an abundant number, since it is smaller than the sum of its proper divisors (3908777892).

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

2051066460 is a wasteful number, since it uses less digits than its factorization.

2051066460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11323 (or 11321 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2051066460 is about 45288.7012399340. The cubic root of 2051066460 is about 1270.5543408437.

Adding to 2051066460 its reverse (646601502), we get a palindrome (2697667962).

The spelling of 2051066460 in words is "two billion, fifty-one million, sixty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 71 86 129 142 172 213 215 258 284 355 426 430 516 645 710 852 860 1065 1290 1420 2130 2580 3053 4260 6106 9159 11197 12212 15265 18318 22394 30530 33591 36636 44788 45795 55985 61060 67182 91590 111970 134364 167955 183180 223940 335910 481471 671820 794987 962942 1444413 1589974 1925884 2384961 2407355 2888826 3179948 3974935 4769922 4814710 5777652 7222065 7949870 9539844 9629420 11924805 14444130 15899740 23849610 28888260 34184441 47699220 68368882 102553323 136737764 170922205 205106646 341844410 410213292 512766615 683688820 1025533230 2051066460