Search a number
-
+
1075843080 = 23335131937109
BaseRepresentation
bin100000000100000…
…0001000000001000
32202222101111021000
41000020001000020
54200403434310
6254431015000
735442341514
oct10010010010
92688344230
101075843080
11502315914
1226036a460
13141b73450
14a2c51144
15646b34c0
hex40201008

1075843080 has 512 divisors, whose sum is σ = 4213440000. Its totient is φ = 241864704.

The previous prime is 1075843057. The next prime is 1075843103. The reversal of 1075843080 is 803485701.

It is an interprime number because it is at equal distance from previous prime (1075843057) and next prime (1075843103).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9870066 + ... + 9870174.

It is an arithmetic number, because the mean of its divisors is an integer number (8229375).

Almost surely, 21075843080 is an apocalyptic number.

1075843080 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 1075843080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106720000).

1075843080 is an abundant number, since it is smaller than the sum of its proper divisors (3137596920).

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

1075843080 is a wasteful number, since it uses less digits than its factorization.

1075843080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1075843080 is about 32800.0469511859. The cubic root of 1075843080 is about 1024.6675360381.

The spelling of 1075843080 in words is "one billion, seventy-five million, eight hundred forty-three thousand, eighty".