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1078413732 = 2232115215227
BaseRepresentation
bin100000001000111…
…0100100110100100
32210011020002112100
41000101310212210
54202033214412
6255002052100
735503236234
oct10021644644
92704202470
101078413732
11503811220
122611aa030
13142563546
14a331dcc4
1564a1eedc
hex404749a4

1078413732 has 72 divisors (see below), whose sum is σ = 2980085472. Its totient is φ = 326102400.

The previous prime is 1078413703. The next prime is 1078413733. The reversal of 1078413732 is 2373148701.

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

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

It is not an unprimeable number, because it can be changed into a prime (1078413733) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 203703 + ... + 208929.

It is an arithmetic number, because the mean of its divisors is an integer number (41390076).

Almost surely, 21078413732 is an apocalyptic number.

1078413732 is a gapful number since it is divisible by the number (12) 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 1078413732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490042736).

1078413732 is an abundant number, since it is smaller than the sum of its proper divisors (1901671740).

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

1078413732 is a wasteful number, since it uses less digits than its factorization.

1078413732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5769 (or 5764 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1078413732 is about 32839.2102828311. The cubic root of 1078413732 is about 1025.4830107449.

The spelling of 1078413732 in words is "one billion, seventy-eight million, four hundred thirteen thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 521 1042 1563 2084 3126 4689 5227 5731 6252 9378 10454 11462 15681 17193 18756 20908 22924 31362 34386 47043 51579 57497 62724 68772 94086 103158 114994 172491 188172 206316 229988 344982 517473 689964 1034946 2069892 2723267 5446534 8169801 10893068 16339602 24509403 29955937 32679204 49018806 59911874 89867811 98037612 119823748 179735622 269603433 359471244 539206866 1078413732