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1050304420 = 2251119713539
BaseRepresentation
bin111110100110100…
…101111110100100
32201012022222210201
4332212211332210
54122334220140
6252115400244
735012304004
oct7646457644
92635288721
101050304420
11499962290
122538b3084
131397a1009
149d6c4004
156231b49a
hex3e9a5fa4

1050304420 has 96 divisors (see below), whose sum is σ = 2569190400. Its totient is φ = 356630400.

The previous prime is 1050304417. The next prime is 1050304429. The reversal of 1050304420 is 244030501.

It is a super-2 number, since 2×10503044202 = 2206278749343072800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (1050304429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295011 + ... + 298549.

It is an arithmetic number, because the mean of its divisors is an integer number (26762400).

Almost surely, 21050304420 is an apocalyptic number.

1050304420 is a gapful number since it is divisible by the number (10) 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 1050304420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284595200).

1050304420 is an abundant number, since it is smaller than the sum of its proper divisors (1518885980).

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

1050304420 is a wasteful number, since it uses less digits than its factorization.

1050304420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 1050304420 is about 32408.4004542032. The cubic root of 1050304420 is about 1016.4945731583.

Adding to 1050304420 its reverse (244030501), we get a palindrome (1294334921).

The spelling of 1050304420 in words is "one billion, fifty million, three hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 71 76 95 110 142 190 209 220 284 355 380 418 710 781 836 1045 1349 1420 1562 2090 2698 3124 3539 3905 4180 5396 6745 7078 7810 13490 14156 14839 15620 17695 26980 29678 35390 38929 59356 67241 70780 74195 77858 134482 148390 155716 194645 251269 268964 296780 336205 389290 502538 672410 739651 778580 1005076 1256345 1344820 1479302 2512690 2763959 2958604 3698255 4774111 5025380 5527918 7396510 9548222 11055836 13819795 14793020 19096444 23870555 27639590 47741110 52515221 55279180 95482220 105030442 210060884 262576105 525152210 1050304420