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1214126140 = 225379111801
BaseRepresentation
bin100100001011110…
…0001100000111100
310010121120222221211
41020113201200330
54441304014030
6320250534204
742041621233
oct11027414074
93117528854
101214126140
11573384a37
1229a737364
131646cc146
14b7369b1a
15718cb12a
hex485e183c

1214126140 has 48 divisors (see below), whose sum is σ = 2622904704. Its totient is φ = 471744000.

The previous prime is 1214126119. The next prime is 1214126141. The reversal of 1214126140 is 416214121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214126141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 673240 + ... + 675040.

It is an arithmetic number, because the mean of its divisors is an integer number (54643848).

Almost surely, 21214126140 is an apocalyptic number.

1214126140 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 1214126140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311452352).

1214126140 is an abundant number, since it is smaller than the sum of its proper divisors (1408778564).

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

1214126140 is a wasteful number, since it uses less digits than its factorization.

1214126140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1214126140 is about 34844.3128788616. The cubic root of 1214126140 is about 1066.8121088570.

The spelling of 1214126140 in words is "one billion, two hundred fourteen million, one hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 911 1801 1822 3602 3644 4555 7204 9005 9110 18010 18220 33707 36020 66637 67414 133274 134828 168535 266548 333185 337070 666370 674140 1332740 1640711 3281422 6562844 8203555 16407110 32814220 60706307 121412614 242825228 303531535 607063070 1214126140