Search a number
-
+
1463342540 = 2251121015987
BaseRepresentation
bin101011100111000…
…1101010111001100
310202222112111120212
41113032031113030
510444103430130
6401112301552
751156130532
oct12716152714
93688474525
101463342540
11691022a00
1234a0a18b8
131a4228c7a
14dc4c0152
1588707e95
hex5738d5cc

1463342540 has 72 divisors (see below), whose sum is σ = 3411794736. Its totient is φ = 526768000.

The previous prime is 1463342537. The next prime is 1463342611. The reversal of 1463342540 is 452433641.

It is a junction number, because it is equal to n+sod(n) for n = 1463342497 and 1463342506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241427 + ... + 247413.

It is an arithmetic number, because the mean of its divisors is an integer number (47386038).

Almost surely, 21463342540 is an apocalyptic number.

1463342540 is a gapful number since it is divisible by the number (10) 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 1463342540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705897368).

1463342540 is an abundant number, since it is smaller than the sum of its proper divisors (1948452196).

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

1463342540 is a wasteful number, since it uses less digits than its factorization.

1463342540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 1463342540 is about 38253.6604784431. The cubic root of 1463342540 is about 1135.3122728129.

The spelling of 1463342540 in words is "one billion, four hundred sixty-three million, three hundred forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 1010 1111 1210 2020 2222 2420 4444 5555 5987 11110 11974 12221 22220 23948 24442 29935 48884 59870 61105 65857 119740 122210 131714 244420 263428 329285 604687 658570 724427 1209374 1317140 1448854 2418748 2897708 3023435 3622135 6046870 6651557 7244270 12093740 13303114 14488540 26606228 33257785 66515570 73167127 133031140 146334254 292668508 365835635 731671270 1463342540