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1463609940 = 2235132118893
BaseRepresentation
bin101011100111100…
…1110101001010100
310210000001002101120
41113033032221110
510444141004230
6401122123540
751161323242
oct12717165124
93700032346
101463609940
116911958a1
1234a1b05b0
131a42c08b0
14dc54d792
158875c310
hex573cea54

1463609940 has 96 divisors (see below), whose sum is σ = 4434761856. Its totient is φ = 358525440.

The previous prime is 1463609911. The next prime is 1463609941. The reversal of 1463609940 is 499063641.

It is a junction number, because it is equal to n+sod(n) for n = 1463609892 and 1463609901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463609941) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 160134 + ... + 169026.

It is an arithmetic number, because the mean of its divisors is an integer number (46195436).

Almost surely, 21463609940 is an apocalyptic number.

1463609940 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 1463609940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217380928).

1463609940 is an abundant number, since it is smaller than the sum of its proper divisors (2971151916).

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

1463609940 is a wasteful number, since it uses less digits than its factorization.

1463609940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9129 (or 9127 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 1463609940 is about 38257.1554091519. The cubic root of 1463609940 is about 1135.3814213556.

The spelling of 1463609940 in words is "one billion, four hundred sixty-three million, six hundred nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 211 260 390 422 633 780 844 1055 1266 2110 2532 2743 3165 4220 5486 6330 8229 8893 10972 12660 13715 16458 17786 26679 27430 32916 35572 41145 44465 53358 54860 82290 88930 106716 115609 133395 164580 177860 231218 266790 346827 462436 533580 578045 693654 1156090 1387308 1734135 1876423 2312180 3468270 3752846 5629269 6936540 7505692 9382115 11258538 18764230 22517076 24393499 28146345 37528460 48786998 56292690 73180497 97573996 112585380 121967495 146360994 243934990 292721988 365902485 487869980 731804970 1463609940