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1406974608 = 243213857877
BaseRepresentation
bin101001111011100…
…1011101010010000
310122001110201022200
41103313023222100
510340141141413
6351340203200
746603041534
oct12367135220
93561421280
101406974608
11662222936
12333239500
13195651270
14d4c09bc4
15837c1573
hex53dcba90

1406974608 has 120 divisors (see below), whose sum is σ = 4250254008. Its totient is φ = 431917056.

The previous prime is 1406974603. The next prime is 1406974609. The reversal of 1406974608 is 8064796041.

1406974608 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 504092304 + 902882304 = 22452^2 + 30048^2 .

It is not an unprimeable number, because it can be changed into a prime (1406974601) 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, 1603866 + ... + 1604742.

Almost surely, 21406974608 is an apocalyptic number.

1406974608 is a gapful number since it is divisible by the number (18) 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 1406974608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125127004).

1406974608 is an abundant number, since it is smaller than the sum of its proper divisors (2843279400).

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

1406974608 is a wasteful number, since it uses less digits than its factorization.

1406974608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1406974608 is about 37509.6601957416. The cubic root of 1406974608 is about 1120.5435839219.

The spelling of 1406974608 in words is "one billion, four hundred six million, nine hundred seventy-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 857 877 936 1714 1754 1872 2571 2631 3428 3508 5142 5262 6856 7016 7713 7893 10284 10524 11141 11401 13712 14032 15426 15786 20568 21048 22282 22802 30852 31572 33423 34203 41136 42096 44564 45604 61704 63144 66846 68406 89128 91208 100269 102609 123408 126288 133692 136812 178256 182416 200538 205218 267384 273624 401076 410436 534768 547248 751589 802152 820872 1503178 1604304 1641744 2254767 3006356 4509534 6012712 6764301 9019068 9770657 12025424 13528602 18038136 19541314 27057204 29311971 36076272 39082628 54114408 58623942 78165256 87935913 108228816 117247884 156330512 175871826 234495768 351743652 468991536 703487304 1406974608