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1143982836 = 22321729431499
BaseRepresentation
bin100010000101111…
…1100101011110100
32221201121100102200
41010023330223310
54320324422321
6305303304500
740230456633
oct10413745364
92851540380
101143982836
11537826267
1227b14b130
13153010329
14abd0b51a
156a672d26
hex442fcaf4

1143982836 has 144 divisors (see below), whose sum is σ = 3243240000. Its totient is φ = 338236416.

The previous prime is 1143982823. The next prime is 1143982871. The reversal of 1143982836 is 6382893411.

It is a junction number, because it is equal to n+sod(n) for n = 1143982791 and 1143982800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 762415 + ... + 763913.

It is an arithmetic number, because the mean of its divisors is an integer number (22522500).

Almost surely, 21143982836 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 1143982836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621620000).

1143982836 is an abundant number, since it is smaller than the sum of its proper divisors (2099257164).

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

1143982836 is a wasteful number, since it uses less digits than its factorization.

1143982836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1593 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1143982836 is about 33822.8153174747. The cubic root of 1143982836 is about 1045.8590757845.

The spelling of 1143982836 in words is "one billion, one hundred forty-three million, nine hundred eighty-two thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 43 51 58 68 86 87 102 116 129 153 172 174 204 258 261 306 348 387 493 516 522 612 731 774 986 1044 1247 1462 1479 1499 1548 1972 2193 2494 2924 2958 2998 3741 4386 4437 4497 4988 5916 5996 6579 7482 8772 8874 8994 11223 13158 13491 14964 17748 17988 21199 22446 25483 26316 26982 42398 43471 44892 50966 53964 63597 64457 76449 84796 86942 101932 127194 128914 130413 152898 173884 190791 193371 229347 254388 257828 260826 305796 381582 386742 391239 458694 521652 580113 739007 763164 773484 782478 917388 1095769 1160226 1478014 1564956 1869253 2191538 2217021 2320452 2956028 3287307 3738506 4383076 4434042 5607759 6574614 6651063 7477012 8868084 9861921 11215518 13149228 13302126 16823277 19723842 22431036 26604252 31777301 33646554 39447684 63554602 67293108 95331903 127109204 190663806 285995709 381327612 571991418 1143982836