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1084970880 = 27325771379
BaseRepresentation
bin100000010101011…
…0101011110000000
32210121120020020200
41000222311132000
54210223032010
6255354405200
735613046260
oct10052653600
92717506220
101084970880
1150748a754
12263430800
13143a1b006
14a41497a0
15653b7cc0
hex40ab5780

1084970880 has 384 divisors, whose sum is σ = 4353523200. Its totient is φ = 243855360.

The previous prime is 1084970867. The next prime is 1084970917. The reversal of 1084970880 is 880794801.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2862531 + ... + 2862909.

It is an arithmetic number, because the mean of its divisors is an integer number (11337300).

Almost surely, 21084970880 is an apocalyptic number.

1084970880 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 1084970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176761600).

1084970880 is an abundant number, since it is smaller than the sum of its proper divisors (3268552320).

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

1084970880 is a wasteful number, since it uses less digits than its factorization.

1084970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 1084970880 is about 32938.8961563681. The cubic root of 1084970880 is about 1027.5572490169.

The spelling of 1084970880 in words is "one billion, eighty-four million, nine hundred seventy thousand, eight hundred eighty".