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1430980096 = 2971330713
BaseRepresentation
bin101010101001011…
…0000011000000000
310200201122022122211
41111102300120000
510412312330341
6353554511504
750314062430
oct12522603000
93621568584
101430980096
11674829587
1233b295594
1319a6078b0
14d80982c0
1585964181
hex554b0600

1430980096 has 80 divisors (see below), whose sum is σ = 3519087264. Its totient is φ = 566083584.

The previous prime is 1430980093. The next prime is 1430980099. The reversal of 1430980096 is 6900890341.

It is an interprime number because it is at equal distance from previous prime (1430980093) and next prime (1430980099).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430980093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31236 + ... + 61948.

Almost surely, 21430980096 is an apocalyptic number.

1430980096 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 1430980096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759543632).

1430980096 is an abundant number, since it is smaller than the sum of its proper divisors (2088107168).

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

1430980096 is an equidigital number, since it uses as much as digits as its factorization.

1430980096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30751 (or 30735 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 1430980096 is about 37828.2975561946. The cubic root of 1430980096 is about 1126.8805015662.

The spelling of 1430980096 in words is "one billion, four hundred thirty million, nine hundred eighty thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1456 1664 1792 2912 3328 3584 5824 6656 11648 23296 30713 46592 61426 122852 214991 245704 399269 429982 491408 798538 859964 982816 1597076 1719928 1965632 2794883 3194152 3439856 3931264 5589766 6388304 6879712 7862528 11179532 12776608 13759424 15725056 22359064 25553216 27518848 44718128 51106432 55037696 89436256 102212864 110075392 178872512 204425728 357745024 715490048 1430980096