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5784113940 = 22351161143669
BaseRepresentation
bin1010110001100001…
…01001001100010100
3112221002211102200020
411120300221030110
543321213121230
62353541345140
7263223104643
oct53060511424
915832742606
105784113940
1124a8a88460
1211551081b0
1371243ba37
143cc29335a
1523cbe1810
hex158c29314

5784113940 has 96 divisors (see below), whose sum is σ = 17957600640. Its totient is φ = 1379212800.

The previous prime is 5784113939. The next prime is 5784113941. The reversal of 5784113940 is 493114875.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5784113939) and next prime (5784113941).

It is a junction number, because it is equal to n+sod(n) for n = 5784113892 and 5784113901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5784113941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31575 + ... + 112094.

It is an arithmetic number, because the mean of its divisors is an integer number (187058340).

Almost surely, 25784113940 is an apocalyptic number.

It is an amenable number.

5784113940 is an abundant number, since it is smaller than the sum of its proper divisors (12173486700).

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

5784113940 is a wasteful number, since it uses less digits than its factorization.

5784113940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143753 (or 143751 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 5784113940 is about 76053.3624503217. The cubic root of 5784113940 is about 1795.0599049433.

The spelling of 5784113940 in words is "five billion, seven hundred eighty-four million, one hundred thirteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 61 66 110 122 132 165 183 220 244 305 330 366 610 660 671 732 915 1220 1342 1830 2013 2684 3355 3660 4026 6710 8052 10065 13420 20130 40260 143669 287338 431007 574676 718345 862014 1436690 1580359 1724028 2155035 2873380 3160718 4310070 4741077 6321436 7901795 8620140 8763809 9482154 15803590 17527618 18964308 23705385 26291427 31607180 35055236 43819045 47410770 52582854 87638090 94821540 96401899 105165708 131457135 175276180 192803798 262914270 289205697 385607596 482009495 525828540 578411394 964018990 1156822788 1446028485 1928037980 2892056970 5784113940