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1082463480 = 2333571311093
BaseRepresentation
bin100000010000101…
…0001010011111000
32210102211211202000
41000201101103320
54204102312410
6255224541000
735552534130
oct10041212370
92712754660
101082463480
1150602791a
12262621760
13143350947
14a3a95ac0
156506edc0
hex408514f8

1082463480 has 256 divisors, whose sum is σ = 4158950400. Its totient is φ = 245306880.

The previous prime is 1082463469. The next prime is 1082463511. The reversal of 1082463480 is 843642801.

1082463480 is a `hidden beast` number, since 10 + 8 + 2 + 4 + 634 + 8 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 989814 + ... + 990906.

It is an arithmetic number, because the mean of its divisors is an integer number (16245900).

Almost surely, 21082463480 is an apocalyptic number.

1082463480 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 1082463480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079475200).

1082463480 is an abundant number, since it is smaller than the sum of its proper divisors (3076486920).

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

1082463480 is a wasteful number, since it uses less digits than its factorization.

1082463480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1082463480 is about 32900.8127559184. The cubic root of 1082463480 is about 1026.7650666542.

The spelling of 1082463480 in words is "one billion, eighty-two million, four hundred sixty-three thousand, four hundred eighty".