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1416370672 = 242910130223
BaseRepresentation
bin101010001101100…
…0001100111110000
310122201011002022001
41110123001213300
510400042330142
6352313423344
750045644363
oct12433014760
93581132261
101416370672
11667560282
1233640ab54
13197590c72
14d61740da
158452a5b7
hex546c19f0

1416370672 has 40 divisors (see below), whose sum is σ = 2867048640. Its totient is φ = 676972800.

The previous prime is 1416370667. The next prime is 1416370673. The reversal of 1416370672 is 2760736141.

It is a super-2 number, since 2×14163706722 = 4012211761003463168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416370673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31753 + ... + 61975.

It is an arithmetic number, because the mean of its divisors is an integer number (71676216).

Almost surely, 21416370672 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 1416370672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433524320).

1416370672 is an abundant number, since it is smaller than the sum of its proper divisors (1450677968).

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

1416370672 is a wasteful number, since it uses less digits than its factorization.

1416370672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30361 (or 30355 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 1416370672 is about 37634.7003708014. The cubic root of 1416370672 is about 1123.0324580728.

The spelling of 1416370672 in words is "one billion, four hundred sixteen million, three hundred seventy thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 29 58 101 116 202 232 404 464 808 1616 2929 5858 11716 23432 30223 46864 60446 120892 241784 483568 876467 1752934 3052523 3505868 6105046 7011736 12210092 14023472 24420184 48840368 88523167 177046334 354092668 708185336 1416370672