Search a number
-
+
1314232420 = 225238873221
BaseRepresentation
bin100111001010101…
…1001100001100100
310101120221220221211
41032111121201210
510142420414140
6334224321204
744365535254
oct11625314144
93346856854
101314232420
116149392a6
12308173204
1317c37c127
14c6787964
157a5a22ea
hex4e559864

1314232420 has 48 divisors (see below), whose sum is σ = 2884025088. Its totient is φ = 502113920.

The previous prime is 1314232393. The next prime is 1314232421. The reversal of 1314232420 is 242324131.

It is a junction number, because it is equal to n+sod(n) for n = 1314232391 and 1314232400.

It is not an unprimeable number, because it can be changed into a prime (1314232421) 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, 406410 + ... + 409630.

It is an arithmetic number, because the mean of its divisors is an integer number (60083856).

Almost surely, 21314232420 is an apocalyptic number.

1314232420 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 1314232420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442012544).

1314232420 is an abundant number, since it is smaller than the sum of its proper divisors (1569792668).

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

1314232420 is a wasteful number, since it uses less digits than its factorization.

1314232420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1314232420 is about 36252.3436483767. The cubic root of 1314232420 is about 1095.3612980383.

Adding to 1314232420 its reverse (242324131), we get a palindrome (1556556551).

The spelling of 1314232420 in words is "one billion, three hundred fourteen million, two hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 887 1774 3221 3548 4435 6442 8870 12884 16105 17740 20401 32210 40802 64420 74083 81604 102005 148166 204010 296332 370415 408020 740830 1481660 2857027 5714054 11428108 14285135 28570270 57140540 65711621 131423242 262846484 328558105 657116210 1314232420