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5311699240 = 235418533797
BaseRepresentation
bin1001111001001101…
…00001100100101000
3111201011220021112111
410330212201210220
541334243333430
62235024052104
7245425461421
oct47446414450
914634807474
105311699240
112286352291
121042a64034
136685c4803
1438563c648
152114c6c2a
hex13c9a1928

5311699240 has 64 divisors (see below), whose sum is σ = 12260399760. Its totient is φ = 2069882880.

The previous prime is 5311699229. The next prime is 5311699279. The reversal of 5311699240 is 429961135.

It can be written as a sum of positive squares in 8 ways, for example, as 159617956 + 5152081284 = 12634^2 + 71778^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5311699193 and 5311699202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1397022 + ... + 1400818.

Almost surely, 25311699240 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 5311699240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6130199880).

5311699240 is an abundant number, since it is smaller than the sum of its proper divisors (6948700520).

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

5311699240 is a wasteful number, since it uses less digits than its factorization.

5311699240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 5311699240 is about 72881.4053102710. The cubic root of 5311699240 is about 1744.7953378305.

It can be divided in two parts, 531 and 1699240, that multiplied together give a triangular number (902296440 = T42480).

The spelling of 5311699240 in words is "five billion, three hundred eleven million, six hundred ninety-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 853 1640 1706 3412 3797 4265 6824 7594 8530 15188 17060 18985 30376 34120 34973 37970 69946 75940 139892 151880 155677 174865 279784 311354 349730 622708 699460 778385 1245416 1398920 1556770 3113540 3238841 6227080 6477682 12955364 16194205 25910728 32388410 64776820 129553640 132792481 265584962 531169924 663962405 1062339848 1327924810 2655849620 5311699240