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1930039296 = 2123236829
BaseRepresentation
bin111001100001010…
…0001000000000000
311222111201011011220
41303002201000000
512423042224141
6515303235040
765554030503
oct16302410000
94874634156
101930039296
119005030a9
1245a448a80
13249b206b3
1414448713a
15b4693766
hex730a1000

1930039296 has 104 divisors (see below), whose sum is σ = 5370674880. Its totient is φ = 615284736.

The previous prime is 1930039259. The next prime is 1930039301. The reversal of 1930039296 is 6929300391.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279210 + ... + 286038.

Almost surely, 21930039296 is an apocalyptic number.

1930039296 is a gapful number since it is divisible by the number (16) 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 1930039296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685337440).

1930039296 is an abundant number, since it is smaller than the sum of its proper divisors (3440635584).

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

1930039296 is an equidigital number, since it uses as much as digits as its factorization.

1930039296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6879 (or 6857 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 42.

The square root of 1930039296 is about 43932.2125097291. The cubic root of 1930039296 is about 1245.0555172740.

The spelling of 1930039296 in words is "one billion, nine hundred thirty million, thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2048 2208 2944 3072 4096 4416 5888 6144 6829 8832 11776 12288 13658 17664 20487 23552 27316 35328 40974 47104 54632 70656 81948 94208 109264 141312 157067 163896 218528 282624 314134 327792 437056 471201 628268 655584 874112 942402 1256536 1311168 1748224 1884804 2513072 2622336 3496448 3769608 5026144 5244672 6992896 7539216 10052288 10489344 13985792 15078432 20104576 20978688 27971584 30156864 40209152 41957376 60313728 80418304 83914752 120627456 160836608 241254912 321673216 482509824 643346432 965019648 1930039296