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2011376620 = 22511101131691
BaseRepresentation
bin111011111100011…
…0010101111101100
312012011202112000101
41313320302233230
513104403022440
6531330440444
7100562263531
oct16770625754
95164675011
102011376620
11942408030
12481733124
1326092b6a6
141511bad88
15bb8ad69a
hex77e32bec

2011376620 has 96 divisors (see below), whose sum is σ = 4695812352. Its totient is φ = 717600000.

The previous prime is 2011376617. The next prime is 2011376669. The reversal of 2011376620 is 266731102.

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, 2910475 + ... + 2911165.

It is an arithmetic number, because the mean of its divisors is an integer number (48914712).

Almost surely, 22011376620 is an apocalyptic number.

2011376620 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 2011376620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347906176).

2011376620 is an abundant number, since it is smaller than the sum of its proper divisors (2684435732).

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

2011376620 is a wasteful number, since it uses less digits than its factorization.

2011376620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 2011376620 is about 44848.3736605911. The cubic root of 2011376620 is about 1262.3054749798.

The spelling of 2011376620 in words is "two billion, eleven million, three hundred seventy-six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 131 202 220 262 404 505 524 655 691 1010 1111 1310 1382 1441 2020 2222 2620 2764 2882 3455 4444 5555 5764 6910 7205 7601 11110 13231 13820 14410 15202 22220 26462 28820 30404 38005 52924 66155 69791 76010 90521 132310 139582 145541 152020 181042 264620 279164 291082 348955 362084 452605 582164 697910 727705 767701 905210 995731 1395820 1455410 1535402 1810420 1991462 2910820 3070804 3838505 3982924 4978655 7677010 9142621 9957310 15354020 18285242 19914620 36570484 45713105 91426210 100568831 182852420 201137662 402275324 502844155 1005688310 2011376620