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2129051260 = 225743834261
BaseRepresentation
bin111111011100110…
…1011111001111100
312111101012000021101
41332321223321330
513330014120020
6551132542444
7103521431350
oct17671537174
95441160241
102129051260
119a28807a6
124b5021a24
1327c12005b
14162a8d460
15c6da500a
hex7ee6be7c

2129051260 has 96 divisors (see below), whose sum is σ = 5292790272. Its totient is φ = 704229120.

The previous prime is 2129051237. The next prime is 2129051273. The reversal of 2129051260 is 621509212.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 497530 + ... + 501790.

It is an arithmetic number, because the mean of its divisors is an integer number (55133232).

Almost surely, 22129051260 is an apocalyptic number.

2129051260 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 2129051260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646395136).

2129051260 is an abundant number, since it is smaller than the sum of its proper divisors (3163739012).

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

2129051260 is a wasteful number, since it uses less digits than its factorization.

2129051260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4403 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 2129051260 is about 46141.6434471075. The cubic root of 2129051260 is about 1286.4572908104.

The spelling of 2129051260 in words is "two billion, one hundred twenty-nine million, fifty-one thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 83 86 140 166 172 215 301 332 415 430 581 602 830 860 1162 1204 1505 1660 2324 2905 3010 3569 4261 5810 6020 7138 8522 11620 14276 17044 17845 21305 24983 29827 35690 42610 49966 59654 71380 85220 99932 119308 124915 149135 183223 249830 298270 353663 366446 499660 596540 707326 732892 916115 1282561 1414652 1768315 1832230 2475641 2565122 3536630 3664460 4951282 5130244 6412805 7073260 9902564 12378205 12825610 15207509 24756410 25651220 30415018 49512820 60830036 76037545 106452563 152075090 212905126 304150180 425810252 532262815 1064525630 2129051260