Search a number
-
+
1420531680 = 25353837727
BaseRepresentation
bin101010010101011…
…1001011111100000
310122222222111010110
41110222321133200
510402124003210
6352542531320
750126214531
oct12452713740
93588874113
101420531680
11669942527
12337896b40
131983b9bb9
14d6938688
1584a9d420
hex54ab97e0

1420531680 has 96 divisors (see below), whose sum is σ = 4486938624. Its totient is φ = 377770496.

The previous prime is 1420531667. The next prime is 1420531691. The reversal of 1420531680 is 861350241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179977 + ... + 187703.

It is an arithmetic number, because the mean of its divisors is an integer number (46738944).

Almost surely, 21420531680 is an apocalyptic number.

1420531680 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 1420531680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243469312).

1420531680 is an abundant number, since it is smaller than the sum of its proper divisors (3066406944).

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

1420531680 is a wasteful number, since it uses less digits than its factorization.

1420531680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8128 (or 8120 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1420531680 is about 37689.9413637114. The cubic root of 1420531680 is about 1124.1311296126.

The spelling of 1420531680 in words is "one billion, four hundred twenty million, five hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 383 480 766 1149 1532 1915 2298 3064 3830 4596 5745 6128 7660 7727 9192 11490 12256 15320 15454 18384 22980 23181 30640 30908 36768 38635 45960 46362 61280 61816 77270 91920 92724 115905 123632 154540 183840 185448 231810 247264 309080 370896 463620 618160 741792 927240 1236320 1854480 2959441 3708960 5918882 8878323 11837764 14797205 17756646 23675528 29594410 35513292 44391615 47351056 59188820 71026584 88783230 94702112 118377640 142053168 177566460 236755280 284106336 355132920 473510560 710265840 1420531680