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1093750944 = 253112137243
BaseRepresentation
bin100000100110001…
…0101000010100000
32211020002022020020
41001030111002200
54220000012234
6300310513440
736050505156
oct10114250240
92736068206
101093750944
11511437300
12266365880
131457a3510
14a53933d6
156604e549
hex413150a0

1093750944 has 144 divisors (see below), whose sum is σ = 3399058656. Its totient is φ = 305902080.

The previous prime is 1093750937. The next prime is 1093750961. The reversal of 1093750944 is 4490573901.

It is a super-3 number, since 3×10937509443 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1093750896 and 1093750905.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147387 + ... + 154629.

It is an arithmetic number, because the mean of its divisors is an integer number (23604574).

Almost surely, 21093750944 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 1093750944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699529328).

1093750944 is an abundant number, since it is smaller than the sum of its proper divisors (2305307712).

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

1093750944 is a wasteful number, since it uses less digits than its factorization.

1093750944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7291 (or 7272 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 1093750944 is about 33071.9056602428. The cubic root of 1093750944 is about 1030.3216213706.

The spelling of 1093750944 in words is "one billion, ninety-three million, seven hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 121 132 143 156 176 208 242 264 286 312 352 363 416 429 484 528 572 624 726 858 968 1056 1144 1248 1452 1573 1716 1936 2288 2904 3146 3432 3872 4576 4719 5808 6292 6864 7243 9438 11616 12584 13728 14486 18876 21729 25168 28972 37752 43458 50336 57944 75504 79673 86916 94159 115888 151008 159346 173832 188318 231776 239019 282477 318692 347664 376636 478038 564954 637384 695328 753272 876403 956076 1035749 1129908 1274768 1506544 1752806 1912152 2071498 2259816 2549536 2629209 3013088 3107247 3505612 3824304 4142996 4519632 5258418 6214494 7011224 7648608 8285992 9039264 10516836 11393239 12428988 14022448 16571984 21033672 22786478 24857976 28044896 33143968 34179717 42067344 45572956 49715952 68359434 84134688 91145912 99431904 136718868 182291824 273437736 364583648 546875472 1093750944