Search a number
-
+
2063294240 = 25575334759
BaseRepresentation
bin111101011111011…
…0101111100100000
312022210110012121012
41322332311330200
513211200403430
6540423320052
7102062466050
oct17276657440
95283405535
102063294240
11969748557
12496bb0028
1326b608887
14158053560
15c1216695
hex7afb5f20

2063294240 has 96 divisors (see below), whose sum is σ = 5676168960. Its totient is φ = 694047744.

The previous prime is 2063294239. The next prime is 2063294273. The reversal of 2063294240 is 424923602.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2063294197 and 2063294206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41981 + ... + 76739.

It is an arithmetic number, because the mean of its divisors is an integer number (59126760).

Almost surely, 22063294240 is an apocalyptic number.

2063294240 is a gapful number since it is divisible by the number (20) 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 2063294240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838084480).

2063294240 is an abundant number, since it is smaller than the sum of its proper divisors (3612874720).

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

2063294240 is a wasteful number, since it uses less digits than its factorization.

2063294240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34834 (or 34826 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 2063294240 is about 45423.4987644061. The cubic root of 2063294240 is about 1273.0742148531.

The spelling of 2063294240 in words is "two billion, sixty-three million, two hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 70 80 106 112 140 160 212 224 265 280 371 424 530 560 742 848 1060 1120 1484 1696 1855 2120 2968 3710 4240 5936 7420 8480 11872 14840 29680 34759 59360 69518 139036 173795 243313 278072 347590 486626 556144 695180 973252 1112288 1216565 1390360 1842227 1946504 2433130 2780720 3684454 3893008 4866260 5561440 7368908 7786016 9211135 9732520 12895589 14737816 18422270 19465040 25791178 29475632 36844540 38930080 51582356 58951264 64477945 73689080 103164712 128955890 147378160 206329424 257911780 294756320 412658848 515823560 1031647120 2063294240