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1200331992 = 2331973107337
BaseRepresentation
bin100011110001011…
…1001110011011000
310002122122011221110
41013202321303120
54424241110432
6315035140320
741513440116
oct10742716330
93078564843
101200331992
11566613212
12295ba46a0
131618ac622
14b55b8ab6
15705a3dcc
hex478b9cd8

1200331992 has 128 divisors (see below), whose sum is σ = 3241555200. Its totient is φ = 369266688.

The previous prime is 1200331987. The next prime is 1200332009. The reversal of 1200331992 is 2991330021.

It is a happy number.

1200331992 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 3561648 + ... + 3561984.

It is an arithmetic number, because the mean of its divisors is an integer number (25324650).

Almost surely, 21200331992 is an apocalyptic number.

1200331992 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 1200331992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620777600).

1200331992 is an abundant number, since it is smaller than the sum of its proper divisors (2041223208).

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

1200331992 is a wasteful number, since it uses less digits than its factorization.

1200331992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 1200331992 is about 34645.8077117564. The cubic root of 1200331992 is about 1062.7565585198.

The spelling of 1200331992 in words is "one billion, two hundred million, three hundred thirty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 73 76 107 114 146 152 214 219 228 292 321 337 428 438 456 584 642 674 856 876 1011 1284 1348 1387 1752 2022 2033 2568 2696 2774 4044 4066 4161 5548 6099 6403 7811 8088 8132 8322 11096 12198 12806 15622 16264 16644 19209 23433 24396 24601 25612 31244 33288 36059 38418 46866 48792 49202 51224 62488 72118 73803 76836 93732 98404 108177 144236 147606 148409 153672 187464 196808 216354 288472 295212 296818 432708 445227 467419 590424 593636 685121 865416 890454 934838 1187272 1370242 1402257 1780908 1869676 2055363 2632307 2740484 2804514 3561816 3739352 4110726 5264614 5480968 5609028 7896921 8221452 10529228 11218056 15793842 16442904 21058456 31587684 50013833 63175368 100027666 150041499 200055332 300082998 400110664 600165996 1200331992