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1074107430 = 23251117193359
BaseRepresentation
bin100000000000101…
…1001010000100110
32202212010022101200
41000001121100212
54144432414210
6254325503330
735421522354
oct10001312046
92685108350
101074107430
1150133a8a0
1225b871b46
131416b6436
14a291c7d4
156446e0c0
hex40059426

1074107430 has 192 divisors, whose sum is σ = 3396556800. Its totient is φ = 232104960.

The previous prime is 1074107417. The next prime is 1074107431. The reversal of 1074107430 is 347014701.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 1074107394 and 1074107403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074107431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318091 + ... + 321449.

It is an arithmetic number, because the mean of its divisors is an integer number (17690400).

Almost surely, 21074107430 is an apocalyptic number.

1074107430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074107430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698278400).

1074107430 is an abundant number, since it is smaller than the sum of its proper divisors (2322449370).

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

1074107430 is a wasteful number, since it uses less digits than its factorization.

1074107430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1074107430 is about 32773.5782300316. The cubic root of 1074107430 is about 1024.1162098287.

The spelling of 1074107430 in words is "one billion, seventy-four million, one hundred seven thousand, four hundred thirty".