Search a number
-
+
1410214120 = 235721913767
BaseRepresentation
bin101010000001110…
…0010100011101000
310122021120022002121
41110003202203220
510342003322440
6351533441024
746642423300
oct12403424350
93567508077
101410214120
11664035817
12334340174
13196216933
14d5410600
1583c1134a
hex540e28e8

1410214120 has 96 divisors (see below), whose sum is σ = 3711329280. Its totient is φ = 480842880.

The previous prime is 1410214109. The next prime is 1410214121. The reversal of 1410214120 is 214120141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1410214094 and 1410214103.

It is not an unprimeable number, because it can be changed into a prime (1410214121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372477 + ... + 376243.

It is an arithmetic number, because the mean of its divisors is an integer number (38659680).

Almost surely, 21410214120 is an apocalyptic number.

1410214120 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 1410214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855664640).

1410214120 is an abundant number, since it is smaller than the sum of its proper divisors (2301115160).

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

1410214120 is a wasteful number, since it uses less digits than its factorization.

1410214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3983 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1410214120 is about 37552.8177371552. The cubic root of 1410214120 is about 1121.4029294350.

Adding to 1410214120 its reverse (214120141), we get a palindrome (1624334261).

The spelling of 1410214120 in words is "one billion, four hundred ten million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 191 196 245 280 382 392 490 764 955 980 1337 1528 1910 1960 2674 3767 3820 5348 6685 7534 7640 9359 10696 13370 15068 18718 18835 26369 26740 30136 37436 37670 46795 52738 53480 74872 75340 93590 105476 131845 150680 184583 187180 210952 263690 369166 374360 527380 719497 738332 922915 1054760 1438994 1476664 1845830 2877988 3597485 3691660 5036479 5755976 7194970 7383320 10072958 14389940 20145916 25182395 28779880 35255353 40291832 50364790 70510706 100729580 141021412 176276765 201459160 282042824 352553530 705107060 1410214120