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2102030420 = 2257219791429
BaseRepresentation
bin111110101001010…
…0111000001010100
312102111100012122112
41331102213001110
513301104433140
6544325450152
7103042651400
oct17522470124
95374305575
102102030420
119895a5626
124a7b70958
1327664c0a9
1415d258100
15c4818c65
hex7d4a7054

2102030420 has 144 divisors (see below), whose sum is σ = 5477472000. Its totient is φ = 673650432.

The previous prime is 2102030387. The next prime is 2102030471. The reversal of 2102030420 is 240302012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2102030395 and 2102030404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1470266 + ... + 1471694.

It is an arithmetic number, because the mean of its divisors is an integer number (38038000).

Almost surely, 22102030420 is an apocalyptic number.

2102030420 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 2102030420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738736000).

2102030420 is an abundant number, since it is smaller than the sum of its proper divisors (3375441580).

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

2102030420 is a wasteful number, since it uses less digits than its factorization.

2102030420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1541 counting only the distinct ones).

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

The square root of 2102030420 is about 45847.9052956621. The cubic root of 2102030420 is about 1280.9917484812.

Adding to 2102030420 its reverse (240302012), we get a palindrome (2342332432).

The spelling of 2102030420 in words is "two billion, one hundred two million, thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 79 95 98 133 140 158 190 196 245 266 316 380 395 490 532 553 665 790 931 980 1106 1330 1429 1501 1580 1862 2212 2660 2765 2858 3002 3724 3871 4655 5530 5716 6004 7145 7505 7742 9310 10003 10507 11060 14290 15010 15484 18620 19355 20006 21014 27151 28580 30020 38710 40012 42028 50015 52535 54302 70021 73549 77420 100030 105070 108604 112891 135755 140042 147098 190057 200060 210140 225782 271510 280084 294196 350105 367745 380114 451564 543020 564455 700210 735490 760228 790237 950285 1128910 1330399 1400420 1470980 1580474 1900570 2144929 2257820 2660798 3160948 3801140 3951185 4289858 5321596 5531659 6651995 7902370 8579716 10724645 11063318 13303990 15014503 15804740 21449290 22126636 26607980 27658295 30029006 42898580 55316590 60058012 75072515 105101521 110633180 150145030 210203042 300290060 420406084 525507605 1051015210 2102030420