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1077528040 = 23526938201
BaseRepresentation
bin100000000111001…
…1100010111101000
32210002120002120221
41000032130113220
54201321344130
6254531055424
735462560111
oct10016342750
92702502527
101077528040
11503266846
12260a41574
13142313374
14a316d208
15648e787a
hex4039c5e8

1077528040 has 16 divisors (see below), whose sum is σ = 2424438180. Its totient is φ = 431011200.

The previous prime is 1077528037. The next prime is 1077528043. The reversal of 1077528040 is 408257701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1077528037) and next prime (1077528043).

It can be written as a sum of positive squares in 2 ways, for example, as 1074135076 + 3392964 = 32774^2 + 1842^2 .

It is a super-2 number, since 2×10775280402 = 2322133353972483200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1077527987 and 1077528005.

It is not an unprimeable number, because it can be changed into a prime (1077528043) 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 3 ways as a sum of consecutive naturals, for example, 13469061 + ... + 13469140.

Almost surely, 21077528040 is an apocalyptic number.

1077528040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1077528040 is an abundant number, since it is smaller than the sum of its proper divisors (1346910140).

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

1077528040 is a wasteful number, since it uses less digits than its factorization.

1077528040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26938212 (or 26938208 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 1077528040 is about 32825.7222312016. The cubic root of 1077528040 is about 1025.2021937033.

The spelling of 1077528040 in words is "one billion, seventy-seven million, five hundred twenty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 26938201 53876402 107752804 134691005 215505608 269382010 538764020 1077528040