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3649560540 = 2235735091637
BaseRepresentation
bin1101100110000111…
…1101111111011100
3100102100021212212220
43121201331333130
524433241414130
61402050425340
7156303516123
oct33141757734
910370255786
103649560540
11160309993a
1285a292250
134621434a2
142689b0aba
15165601410
hexd987dfdc

3649560540 has 96 divisors (see below), whose sum is σ = 10385444160. Its totient is φ = 957413376.

The previous prime is 3649560539. The next prime is 3649560557. The reversal of 3649560540 is 450659463.

It is a junction number, because it is equal to n+sod(n) for n = 3649560492 and 3649560501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2228602 + ... + 2230238.

It is an arithmetic number, because the mean of its divisors is an integer number (108181710).

Almost surely, 23649560540 is an apocalyptic number.

3649560540 is a gapful number since it is divisible by the number (30) 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 3649560540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192722080).

3649560540 is an abundant number, since it is smaller than the sum of its proper divisors (6735883620).

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

3649560540 is a wasteful number, since it uses less digits than its factorization.

3649560540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 3649560540 is about 60411.5927616546. The cubic root of 3649560540 is about 1539.6199292571.

The spelling of 3649560540 in words is "three billion, six hundred forty-nine million, five hundred sixty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 509 730 876 1018 1095 1460 1527 1637 2036 2190 2545 3054 3274 4380 4911 5090 6108 6548 7635 8185 9822 10180 15270 16370 19644 24555 30540 32740 37157 49110 74314 98220 111471 119501 148628 185785 222942 239002 358503 371570 445884 478004 557355 597505 717006 743140 833233 1114710 1195010 1434012 1666466 1792515 2229420 2390020 2499699 3332932 3585030 4166165 4999398 7170060 8332330 9998796 12498495 16664660 24996990 49993980 60826009 121652018 182478027 243304036 304130045 364956054 608260090 729912108 912390135 1216520180 1824780270 3649560540