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1146631992 = 2331110143003
BaseRepresentation
bin100010001011000…
…0011011100111000
32221220120221101120
41010112003130320
54322014210432
6305440145240
740262132262
oct10426033470
92856527346
101146631992
11539275650
12280008220
1315372a08c
14ac3dab32
156a9e7c2c
hex44583738

1146631992 has 64 divisors (see below), whose sum is σ = 3158213760. Its totient is φ = 344016000.

The previous prime is 1146631987. The next prime is 1146632017. The reversal of 1146631992 is 2991366411.

It is a congruent number.

It is an unprimeable number.

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, 5163 + ... + 48165.

It is an arithmetic number, because the mean of its divisors is an integer number (49347090).

Almost surely, 21146631992 is an apocalyptic number.

1146631992 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 1146631992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579106880).

1146631992 is an abundant number, since it is smaller than the sum of its proper divisors (2011581768).

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

1146631992 is a wasteful number, since it uses less digits than its factorization.

1146631992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43124 (or 43120 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 1146631992 is about 33861.9549347051. The cubic root of 1146631992 is about 1046.6657626851.

It can be divided in two parts, 11466319 and 92, that added together give a palindrome (11466411).

The spelling of 1146631992 in words is "one billion, one hundred forty-six million, six hundred thirty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 808 1111 1212 2222 2424 3333 4444 6666 8888 13332 26664 43003 86006 129009 172012 258018 344024 473033 516036 946066 1032072 1419099 1892132 2838198 3784264 4343303 5676396 8686606 11352792 13029909 17373212 26059818 34746424 47776333 52119636 95552666 104239272 143328999 191105332 286657998 382210664 573315996 1146631992