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1082130432 = 223343
BaseRepresentation
bin100000010000000…
…0000000000000000
32210102012220212220
41000200000000000
54204011133212
6255213451040
735546646135
oct10040000000
92712186786
101082130432
1150591a679
122624a0a80
13143265186
14a3a0a58c
156500638c
hex40800000

1082130432 has 96 divisors (see below), whose sum is σ = 2952789840. Its totient is φ = 352321536.

The previous prime is 1082130421. The next prime is 1082130451. The reversal of 1082130432 is 2340312801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25165803 + ... + 25165845.

Almost surely, 21082130432 is an apocalyptic number.

1082130432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

1082130432 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476394920).

1082130432 is an abundant number, since it is smaller than the sum of its proper divisors (1870659408).

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

1082130432 is an frugal number, since it uses more digits than its factorization.

1082130432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1082130432 is about 32895.7509718201. The cubic root of 1082130432 is about 1026.6597522070.

The spelling of 1082130432 in words is "one billion, eighty-two million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1024 1032 1376 1536 2048 2064 2752 3072 4096 4128 5504 6144 8192 8256 11008 12288 16384 16512 22016 24576 32768 33024 44032 49152 65536 66048 88064 98304 131072 132096 176128 196608 262144 264192 352256 393216 524288 528384 704512 786432 1048576 1056768 1409024 1572864 2097152 2113536 2818048 3145728 4194304 4227072 5636096 6291456 8388608 8454144 11272192 12582912 16908288 22544384 25165824 33816576 45088768 67633152 90177536 135266304 180355072 270532608 360710144 541065216 1082130432