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1082371680 = 253351319273
BaseRepresentation
bin100000010000011…
…1010111001100000
32210102200011211000
41000200322321200
54204041343210
6255222552000
735552002365
oct10040727140
92712604730
101082371680
11505a74955
12262598600
1314331ac20
14a3a7046c
1565052ac0
hex4083ae60

1082371680 has 192 divisors, whose sum is σ = 4079920320. Its totient is φ = 266416128.

The previous prime is 1082371679. The next prime is 1082371699. The reversal of 1082371680 is 861732801.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46524 + ... + 65796.

It is an arithmetic number, because the mean of its divisors is an integer number (21249585).

Almost surely, 21082371680 is an apocalyptic number.

1082371680 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 1082371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039960160).

1082371680 is an abundant number, since it is smaller than the sum of its proper divisors (2997548640).

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

1082371680 is a wasteful number, since it uses less digits than its factorization.

1082371680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19310 (or 19296 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1082371680 is about 32899.4176240249. The cubic root of 1082371680 is about 1026.7360403638.

The spelling of 1082371680 in words is "one billion, eighty-two million, three hundred seventy-one thousand, six hundred eighty".