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2130020420 = 2251129563593
BaseRepresentation
bin111111011110101…
…1000100001000100
312111110000020201012
41332331120201010
513330241123140
6551205421352
7103532606033
oct17675304104
95443006635
102130020420
119a3382960
124b540a858
1327c39c218
14162c6271a
15c6ee7265
hex7ef58844

2130020420 has 96 divisors (see below), whose sum is σ = 5065441920. Its totient is φ = 745256960.

The previous prime is 2130020393. The next prime is 2130020443. The reversal of 2130020420 is 240200312.

It is a junction number, because it is equal to n+sod(n) for n = 2130020395 and 2130020404.

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, 3591644 + ... + 3592236.

It is an arithmetic number, because the mean of its divisors is an integer number (52765020).

Almost surely, 22130020420 is an apocalyptic number.

2130020420 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 2130020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532720960).

2130020420 is an abundant number, since it is smaller than the sum of its proper divisors (2935421500).

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

2130020420 is a wasteful number, since it uses less digits than its factorization.

2130020420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2130020420 is about 46152.1442622117. The cubic root of 2130020420 is about 1286.6524628474.

Adding to 2130020420 its reverse (240200312), we get a palindrome (2370220732).

The spelling of 2130020420 in words is "two billion, one hundred thirty million, twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 563 580 593 638 1126 1186 1276 1595 2252 2372 2815 2965 3190 5630 5930 6193 6380 6523 11260 11860 12386 13046 16327 17197 24772 26092 30965 32615 32654 34394 61930 65230 65308 68788 81635 85985 123860 130460 163270 171970 179597 189167 326540 333859 343940 359194 378334 667718 718388 756668 897985 945835 1335436 1669295 1795970 1891670 3338590 3591940 3672449 3783340 6677180 7344898 9681911 14689796 18362245 19363822 36724490 38727644 48409555 73448980 96819110 106501021 193638220 213002042 426004084 532505105 1065010210 2130020420