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1145986672 = 241931277439
BaseRepresentation
bin100010001001110…
…0101111001110000
32221212101011011211
41010103211321300
54321333033142
6305414245504
740253504005
oct10423457160
92855334154
101145986672
11538974826
1227b956894
1315356242c
14ac2ad8ac
156a91b917
hex444e5e70

1145986672 has 80 divisors (see below), whose sum is σ = 2426828800. Its totient is φ = 522236160.

The previous prime is 1145986669. The next prime is 1145986697. The reversal of 1145986672 is 2766895411.

It is a happy number.

Its product of digits (725760) is a multiple of the sum of its prime divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2610229 + ... + 2610667.

It is an arithmetic number, because the mean of its divisors is an integer number (30335360).

Almost surely, 21145986672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145986672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213414400).

1145986672 is an abundant number, since it is smaller than the sum of its proper divisors (1280842128).

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

1145986672 is a wasteful number, since it uses less digits than its factorization.

1145986672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 768 counting only the distinct ones).

The product of its digits is 725760, while the sum is 49.

The square root of 1145986672 is about 33852.4249057582. The cubic root of 1145986672 is about 1046.4693727056.

The spelling of 1145986672 in words is "one billion, one hundred forty-five million, nine hundred eighty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 277 304 439 496 554 589 878 1108 1178 1756 2216 2356 3512 4432 4712 5263 7024 8341 8587 9424 10526 13609 16682 17174 21052 27218 33364 34348 42104 54436 66728 68696 84208 108872 121603 133456 137392 163153 217744 243206 258571 326306 486412 517142 652612 972824 1034284 1305224 1945648 2068568 2310457 2610448 3769693 4137136 4620914 7539386 9241828 15078772 18483656 30157544 36967312 60315088 71624167 143248334 286496668 572993336 1145986672