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3913616140 = 225773569673
BaseRepresentation
bin1110100101000101…
…0000101100001100
3101002202011022001221
43221101100230030
531003341204030
61444202213124
7165661121410
oct35121205414
911082138057
103913616140
111729152805
129127b41a4
134a4a676c5
14291aa8d40
1517d8aee7a
hexe9450b0c

3913616140 has 96 divisors (see below), whose sum is σ = 9552251520. Its totient is φ = 1319141376.

The previous prime is 3913616137. The next prime is 3913616159. The reversal of 3913616140 is 416163193.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3913616096 and 3913616105.

It is an unprimeable number.

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, 5814844 + ... + 5815516.

It is an arithmetic number, because the mean of its divisors is an integer number (99502620).

Almost surely, 23913616140 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 3913616140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776125760).

3913616140 is an abundant number, since it is smaller than the sum of its proper divisors (5638635380).

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

3913616140 is a wasteful number, since it uses less digits than its factorization.

3913616140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 3913616140 is about 62558.9013650336. The cubic root of 3913616140 is about 1575.8906379446.

The spelling of 3913616140 in words is "three billion, nine hundred thirteen million, six hundred sixteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 511 569 673 730 1022 1138 1346 1460 2044 2276 2555 2692 2845 3365 3983 4711 5110 5690 6730 7966 9422 10220 11380 13460 15932 18844 19915 23555 39830 41537 47110 49129 79660 83074 94220 98258 166148 196516 207685 245645 290759 343903 382937 415370 491290 581518 687806 765874 830740 982580 1163036 1375612 1453795 1531748 1719515 1914685 2680559 2907590 3439030 3829370 5361118 5815180 6878060 7658740 10722236 13402795 26805590 27954401 53611180 55908802 111817604 139772005 195680807 279544010 391361614 559088020 782723228 978404035 1956808070 3913616140