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1076576020 = 2251331313229
BaseRepresentation
bin100000000101011…
…0011111100010100
32210000202201122221
41000022303330110
54201100413040
6254454432124
735451513412
oct10012637424
92700681587
101076576020
11502776553
12260662644
1314206bc40
14a2da22b2
15647aa74a
hex402b3f14

1076576020 has 48 divisors (see below), whose sum is σ = 2442681360. Its totient is φ = 396205056.

The previous prime is 1076575999. The next prime is 1076576023. The reversal of 1076576020 is 206756701.

It can be written as a sum of positive squares in 8 ways, for example, as 62663056 + 1013912964 = 7916^2 + 31842^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076576023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74766 + ... + 87994.

It is an arithmetic number, because the mean of its divisors is an integer number (50889195).

Almost surely, 21076576020 is an apocalyptic number.

1076576020 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 1076576020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221340680).

1076576020 is an abundant number, since it is smaller than the sum of its proper divisors (1366105340).

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

1076576020 is a wasteful number, since it uses less digits than its factorization.

1076576020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13564 (or 13562 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 1076576020 is about 32811.2178987614. The cubic root of 1076576020 is about 1024.9001750890.

The spelling of 1076576020 in words is "one billion, seventy-six million, five hundred seventy-six thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 313 626 1252 1565 3130 4069 6260 8138 13229 16276 20345 26458 40690 52916 66145 81380 132290 171977 264580 343954 687908 859885 1719770 3439540 4140677 8281354 16562708 20703385 41406770 53828801 82813540 107657602 215315204 269144005 538288010 1076576020