Search a number
-
+
1212614340 = 2235726910733
BaseRepresentation
bin100100001000111…
…0000011011000100
310010111202012011020
41020101300123010
54440412124330
6320154311140
742023023530
oct11021603304
93114665136
101212614340
11572542113
1229a1284b0
131642bcca2
14b7094bc0
15716cd210
hex484706c4

1212614340 has 96 divisors (see below), whose sum is σ = 3895153920. Its totient is φ = 276112896.

The previous prime is 1212614339. The next prime is 1212614393. The reversal of 1212614340 is 434162121.

It is a self number, because there is not a number n which added to its sum of digits gives 1212614340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107614 + ... + 118346.

It is an arithmetic number, because the mean of its divisors is an integer number (40574520).

Almost surely, 21212614340 is an apocalyptic number.

1212614340 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 1212614340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947576960).

1212614340 is an abundant number, since it is smaller than the sum of its proper divisors (2682539580).

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

1212614340 is a wasteful number, since it uses less digits than its factorization.

1212614340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11021 (or 11019 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1212614340 is about 34822.6124809728. The cubic root of 1212614340 is about 1066.3691355487.

Adding to 1212614340 its reverse (434162121), we get a palindrome (1646776461).

The spelling of 1212614340 in words is "one billion, two hundred twelve million, six hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 269 420 538 807 1076 1345 1614 1883 2690 3228 3766 4035 5380 5649 7532 8070 9415 10733 11298 16140 18830 21466 22596 28245 32199 37660 42932 53665 56490 64398 75131 107330 112980 128796 150262 160995 214660 225393 300524 321990 375655 450786 643980 751310 901572 1126965 1502620 2253930 2887177 4507860 5774354 8661531 11548708 14435885 17323062 20210239 28871770 34646124 40420478 43307655 57743540 60630717 80840956 86615310 101051195 121261434 173230620 202102390 242522868 303153585 404204780 606307170 1212614340