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1081768932 = 2237313989
BaseRepresentation
bin100000001111010…
…0111101111100100
32210101112120000000
41000132213233210
54203413101212
6255202021300
735543612166
oct10036475744
92711476000
101081768932
115056a3012
12262347830
1314316977a
14a3954936
1564e841dc
hex407a7be4

1081768932 has 96 divisors (see below), whose sum is σ = 2931532800. Its totient is φ = 348870240.

The previous prime is 1081768927. The next prime is 1081768943. The reversal of 1081768932 is 2398671801.

1081768932 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269194 + ... + 273182.

It is an arithmetic number, because the mean of its divisors is an integer number (30536800).

Almost surely, 21081768932 is an apocalyptic number.

1081768932 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 1081768932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465766400).

1081768932 is an abundant number, since it is smaller than the sum of its proper divisors (1849763868).

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

1081768932 is an equidigital number, since it uses as much as digits as its factorization.

1081768932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1081768932 is about 32890.2558822518. The cubic root of 1081768932 is about 1026.5454163792.

The spelling of 1081768932 in words is "one billion, eighty-one million, seven hundred sixty-eight thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 729 837 972 1116 1458 1674 2187 2511 2916 3348 3989 4374 5022 7533 7978 8748 10044 11967 15066 15956 22599 23934 30132 35901 45198 47868 67797 71802 90396 107703 123659 135594 143604 215406 247318 271188 323109 370977 430812 494636 646218 741954 969327 1112931 1292436 1483908 1938654 2225862 2907981 3338793 3877308 4451724 5815962 6677586 8723943 10016379 11631924 13355172 17447886 20032758 30049137 34895772 40065516 60098274 90147411 120196548 180294822 270442233 360589644 540884466 1081768932