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1140443928 = 233313461881
BaseRepresentation
bin100001111111001…
…1100101100011000
32221110221112222000
41003332130230120
54313423201203
6305055401000
740155420261
oct10376345430
92843845860
101140443928
11535829448
12279b23160
131523715c0
14ab669968
156a1c44a3
hex43f9cb18

1140443928 has 128 divisors (see below), whose sum is σ = 3422865600. Its totient is φ = 349747200.

The previous prime is 1140443923. The next prime is 1140443939. The reversal of 1140443928 is 8293440411.

It is a happy number.

It is a super-2 number, since 2×11404439282 = 2601224705824138368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1140443892 and 1140443901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140443923) 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, 1294048 + ... + 1294928.

Almost surely, 21140443928 is an apocalyptic number.

1140443928 is a gapful number since it is divisible by the number (18) 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 1140443928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711432800).

1140443928 is an abundant number, since it is smaller than the sum of its proper divisors (2282421672).

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

1140443928 is a wasteful number, since it uses less digits than its factorization.

1140443928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1140443928 is about 33770.4593987112. The cubic root of 1140443928 is about 1044.7795076721.

The spelling of 1140443928 in words is "one billion, one hundred forty million, four hundred forty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 461 468 702 881 922 936 1383 1404 1762 1844 2643 2766 2808 3524 3688 4149 5286 5532 5993 7048 7929 8298 10572 11064 11453 11986 12447 15858 16596 17979 21144 22906 23787 23972 24894 31716 33192 34359 35958 45812 47574 47944 49788 53937 63432 68718 71916 91624 95148 99576 103077 107874 137436 143832 161811 190296 206154 215748 274872 309231 323622 406141 412308 431496 618462 647244 812282 824616 1218423 1236924 1294488 1624564 2436846 2473848 3249128 3655269 4873692 5279833 7310538 9747384 10559666 10965807 14621076 15839499 21119332 21931614 29242152 31678998 42238664 43863228 47518497 63357996 87726456 95036994 126715992 142555491 190073988 285110982 380147976 570221964 1140443928