Search a number
-
+
1420049484 = 2232712744371
BaseRepresentation
bin101010010100100…
…0011110001001100
310122222001222200100
41110221003301030
510402013040414
6352524331100
750122135650
oct12451036114
93588058610
101420049484
11669643217
123376a3a90
1319827b589
14d6850a60
1584a05609
hex54a43c4c

1420049484 has 72 divisors (see below), whose sum is σ = 4134760448. Its totient is φ = 402524640.

The previous prime is 1420049471. The next prime is 1420049513. The reversal of 1420049484 is 4849400241.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9819 + ... + 54189.

Almost surely, 21420049484 is an apocalyptic number.

1420049484 is a gapful number since it is divisible by the number (14) 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 1420049484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067380224).

1420049484 is an abundant number, since it is smaller than the sum of its proper divisors (2714710964).

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

1420049484 is a wasteful number, since it uses less digits than its factorization.

1420049484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44515 (or 44510 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1420049484 is about 37683.5439416199. The cubic root of 1420049484 is about 1124.0039206982.

The spelling of 1420049484 in words is "one billion, four hundred twenty million, forty-nine thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 508 762 889 1143 1524 1778 2286 2667 3556 4572 5334 8001 10668 16002 32004 44371 88742 133113 177484 266226 310597 399339 532452 621194 798678 931791 1242388 1597356 1863582 2795373 3727164 5590746 5635117 11181492 11270234 16905351 22540468 33810702 39445819 50716053 67621404 78891638 101432106 118337457 157783276 202864212 236674914 355012371 473349828 710024742 1420049484