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1082025984 = 211313192331
BaseRepresentation
bin100000001111110…
…0110100000000000
32210102000121121110
41000133212200000
54203444312414
6255211323320
735546032464
oct10037464000
92712017543
101082025984
11505859156
12262450540
13143229780
14a39c04a4
1564ed5459
hex407e6800

1082025984 has 384 divisors, whose sum is σ = 3522355200. Its totient is φ = 291962880.

The previous prime is 1082025977. The next prime is 1082026009. The reversal of 1082025984 is 4895202801.

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 (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34904049 + ... + 34904079.

It is an arithmetic number, because the mean of its divisors is an integer number (9172800).

Almost surely, 21082025984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082025984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761177600).

1082025984 is an abundant number, since it is smaller than the sum of its proper divisors (2440329216).

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

1082025984 is a wasteful number, since it uses less digits than its factorization.

1082025984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 1082025984 is about 32894.1633728539. The cubic root of 1082025984 is about 1026.6267198340.

The spelling of 1082025984 in words is "one billion, eighty-two million, twenty-five thousand, nine hundred eighty-four".