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2830190440 = 2357118311071
BaseRepresentation
bin1010100010110001…
…0100011101101000
321022020111120102011
42220230110131220
521244012043230
61144500445304
7130064136040
oct25054243550
97266446364
102830190440
111222628a70
1266b9a9834
1336146aacc
141cbc42720
151186eee2a
hexa8b14768

2830190440 has 128 divisors (see below), whose sum is σ = 8035614720. Its totient is φ = 871430400.

The previous prime is 2830190401. The next prime is 2830190443. The reversal of 2830190440 is 440910382.

It is not an unprimeable number, because it can be changed into a prime (2830190443) 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, 250105 + ... + 261175.

It is an arithmetic number, because the mean of its divisors is an integer number (62778240).

Almost surely, 22830190440 is an apocalyptic number.

2830190440 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 2830190440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017807360).

2830190440 is an abundant number, since it is smaller than the sum of its proper divisors (5205424280).

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

2830190440 is a wasteful number, since it uses less digits than its factorization.

2830190440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11183 (or 11179 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2830190440 is about 53199.5342084872. The cubic root of 2830190440 is about 1414.5073871978.

The spelling of 2830190440 in words is "two billion, eight hundred thirty million, one hundred ninety thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 83 88 110 140 154 166 220 280 308 332 385 415 440 581 616 664 770 830 913 1162 1540 1660 1826 2324 2905 3080 3320 3652 4565 4648 5810 6391 7304 9130 11071 11620 12782 18260 22142 23240 25564 31955 36520 44284 51128 55355 63910 77497 88568 110710 121781 127820 154994 221420 243562 255640 309988 387485 442840 487124 608905 619976 774970 852467 918893 974248 1217810 1549940 1704934 1837786 2435620 3099880 3409868 3675572 4262335 4594465 4871240 6432251 6819736 7351144 8524670 9188930 10107823 12864502 17049340 18377860 20215646 25729004 32161255 34098680 36755720 40431292 50539115 51458008 64322510 70754761 80862584 101078230 128645020 141509522 202156460 257290040 283019044 353773805 404312920 566038088 707547610 1415095220 2830190440