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1416064132 = 227243401419
BaseRepresentation
bin101010001100111…
…0110110010000100
310122200120111210201
41110121312302010
510400003023012
6352303100244
750043226600
oct12431666204
93580514721
101416064132
11667370a3a
123362a1684
131974b4592
14d60d4500
15844b9857
hex54676c84

1416064132 has 72 divisors (see below), whose sum is σ = 2964155040. Its totient is φ = 589881600.

The previous prime is 1416064127. The next prime is 1416064141. The reversal of 1416064132 is 2314606141.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1416064132.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3379419 + ... + 3379837.

It is an arithmetic number, because the mean of its divisors is an integer number (41168820).

Almost surely, 21416064132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1416064132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482077520).

1416064132 is an abundant number, since it is smaller than the sum of its proper divisors (1548090908).

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

1416064132 is a wasteful number, since it uses less digits than its factorization.

1416064132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1416064132 is about 37630.6275791409. The cubic root of 1416064132 is about 1122.9514342714.

The spelling of 1416064132 in words is "one billion, four hundred sixteen million, sixty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 401 419 602 802 838 1204 1604 1676 2107 2807 2933 4214 5614 5866 8428 11228 11732 17243 18017 19649 20531 34486 36034 39298 41062 68972 72068 78596 82124 120701 126119 168019 241402 252238 336038 482804 504476 672076 844907 882833 1176133 1689814 1765666 2352266 3379628 3531332 4704532 7224817 8232931 14449634 16465862 28899268 32931724 50573719 101147438 202294876 354016033 708032066 1416064132