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1093997424 = 243134161701
BaseRepresentation
bin100000100110101…
…0001001101110000
32211020112211100010
41001031101031300
54220030404144
6300320054520
736052552602
oct10115211560
92736484303
101093997424
11511595503
12266464440
1314585b770
14a5419172
156609c5b9
hex41351370

1093997424 has 160 divisors (see below), whose sum is σ = 3173421888. Its totient is φ = 322560000.

The previous prime is 1093997423. The next prime is 1093997441. The reversal of 1093997424 is 4247993901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1093997423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1560274 + ... + 1560974.

Almost surely, 21093997424 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 1093997424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586710944).

1093997424 is an abundant number, since it is smaller than the sum of its proper divisors (2079424464).

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

1093997424 is a wasteful number, since it uses less digits than its factorization.

1093997424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 1093997424 is about 33075.6318760504. The cubic root of 1093997424 is about 1030.3990108959.

The spelling of 1093997424 in words is "one billion, ninety-three million, nine hundred ninety-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 61 78 82 104 122 123 156 164 183 208 244 246 312 328 366 488 492 533 624 656 701 732 793 976 984 1066 1402 1464 1586 1599 1968 2103 2132 2379 2501 2804 2928 3172 3198 4206 4264 4758 5002 5608 6344 6396 7503 8412 8528 9113 9516 10004 11216 12688 12792 15006 16824 18226 19032 20008 25584 27339 28741 30012 32513 33648 36452 38064 40016 42761 54678 57482 60024 65026 72904 85522 86223 97539 109356 114964 120048 128283 130052 145808 171044 172446 195078 218712 229928 256566 260104 342088 344892 373633 390156 437424 459856 513132 520208 555893 684176 689784 747266 780312 1026264 1111786 1120899 1379568 1494532 1560624 1667679 1753201 2052528 2223572 2241798 2989064 3335358 3506402 4447144 4483596 5259603 5978128 6670716 7012804 8894288 8967192 10519206 13341432 14025608 17934384 21038412 22791613 26682864 28051216 42076824 45583226 68374839 84153648 91166452 136749678 182332904 273499356 364665808 546998712 1093997424