Search a number
-
+
1419062540 = 225724730809
BaseRepresentation
bin101010010010101…
…0010110100001100
310122220012211211212
41110211102310030
510401240000130
6352451233552
750110555400
oct12445226414
93586184755
101419062540
11669029765
123372a88b8
13197cc429c
14d6675100
15848ace95
hex54952d0c

1419062540 has 72 divisors (see below), whose sum is σ = 3540438720. Its totient is φ = 476168448.

The previous prime is 1419062483. The next prime is 1419062599. The reversal of 1419062540 is 452609141.

It is a junction number, because it is equal to n+sod(n) for n = 1419062497 and 1419062506.

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 23 ways as a sum of consecutive naturals, for example, 30656 + ... + 61464.

It is an arithmetic number, because the mean of its divisors is an integer number (49172760).

Almost surely, 21419062540 is an apocalyptic number.

1419062540 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 1419062540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770219360).

1419062540 is an abundant number, since it is smaller than the sum of its proper divisors (2121376180).

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

1419062540 is a wasteful number, since it uses less digits than its factorization.

1419062540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30879 (or 30870 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 1419062540 is about 37670.4465065122. The cubic root of 1419062540 is about 1123.7434635723.

The spelling of 1419062540 in words is "one billion, four hundred nineteen million, sixty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 49 70 94 98 140 188 196 235 245 329 470 490 658 940 980 1316 1645 2303 3290 4606 6580 9212 11515 23030 30809 46060 61618 123236 154045 215663 308090 431326 616180 862652 1078315 1448023 1509641 2156630 2896046 3019282 4313260 5792092 6038564 7240115 7548205 10136161 14480230 15096410 20272322 28960460 30192820 40544644 50680805 70953127 101361610 141906254 202723220 283812508 354765635 709531270 1419062540