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2107035420 = 2235717217359
BaseRepresentation
bin111110110010110…
…1100111100011100
312102211202111012220
41331211230330130
513303400113140
6545025025340
7103133335260
oct17545547434
95384674186
102107035420
11991403996
124a9785250
132776b2229
1415db9c0a0
15c4ea6bd0
hex7d96cf1c

2107035420 has 144 divisors (see below), whose sum is σ = 7162874880. Its totient is φ = 453252096.

The previous prime is 2107035401. The next prime is 2107035431. The reversal of 2107035420 is 245307012.

It is a super-2 number, since 2×21070354202 = 8879196522269152800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112701 + ... + 130059.

Almost surely, 22107035420 is an apocalyptic number.

2107035420 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 2107035420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581437440).

2107035420 is an abundant number, since it is smaller than the sum of its proper divisors (5055839460).

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

2107035420 is a wasteful number, since it uses less digits than its factorization.

2107035420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17412 (or 17393 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2107035420 is about 45902.4554898755. The cubic root of 2107035420 is about 1282.0076363910.

The spelling of 2107035420 in words is "two billion, one hundred seven million, thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 289 340 357 420 476 510 578 595 714 867 1020 1156 1190 1428 1445 1734 1785 2023 2380 2890 3468 3570 4046 4335 5780 6069 7140 8092 8670 10115 12138 17340 17359 20230 24276 30345 34718 40460 52077 60690 69436 86795 104154 121380 121513 173590 208308 243026 260385 295103 347180 364539 486052 520770 590206 607565 729078 885309 1041540 1180412 1215130 1458156 1475515 1770618 1822695 2065721 2430260 2951030 3541236 3645390 4131442 4426545 5016751 5902060 6197163 7290780 8262884 8853090 10033502 10328605 12394326 15050253 17706180 20067004 20657210 24788652 25083755 30100506 30985815 35117257 41314420 50167510 60201012 61971630 70234514 75251265 100335020 105351771 123943260 140469028 150502530 175586285 210703542 301005060 351172570 421407084 526758855 702345140 1053517710 2107035420