Search a number
-
+
1420624240 = 245713718517
BaseRepresentation
bin101010010101101…
…0000000101110000
310200000011012002121
41110223100011300
510402134433430
6352544524024
750130051430
oct12453200560
93600135077
101420624240
116699a6022
12337920614
13198420079
14d69602c0
1584abaa7a
hex54ad0170

1420624240 has 80 divisors (see below), whose sum is σ = 3802560192. Its totient is φ = 483489792.

The previous prime is 1420624229. The next prime is 1420624241. The reversal of 1420624240 is 424260241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420624241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67462 + ... + 85978.

Almost surely, 21420624240 is an apocalyptic number.

1420624240 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 1420624240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901280096).

1420624240 is an abundant number, since it is smaller than the sum of its proper divisors (2381935952).

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

1420624240 is a wasteful number, since it uses less digits than its factorization.

1420624240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18674 (or 18668 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1420624240 is about 37691.1692575330. The cubic root of 1420624240 is about 1124.1555447240.

Adding to 1420624240 its reverse (424260241), we get a palindrome (1844884481).

It can be divided in two parts, 1420624 and 240, that added together give a square (1420864 = 11922).

The spelling of 1420624240 in words is "one billion, four hundred twenty million, six hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 137 140 274 280 548 560 685 959 1096 1370 1918 2192 2740 3836 4795 5480 7672 9590 10960 15344 18517 19180 37034 38360 74068 76720 92585 129619 148136 185170 259238 296272 370340 518476 648095 740680 1036952 1296190 1481360 2073904 2536829 2592380 5073658 5184760 10147316 10369520 12684145 17757803 20294632 25368290 35515606 40589264 50736580 71031212 88789015 101473160 142062424 177578030 202946320 284124848 355156060 710312120 1420624240