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1407172986 = 23497149601
BaseRepresentation
bin101001111011111…
…1100000101111010
310122001211210110000
41103313330011322
510340214013421
6351344333430
746604526102
oct12367740572
93561753400
101407172986
1166234898a
12333314276
131956c064b
14d4c5c202
1583810226
hex53dfc17a

1407172986 has 80 divisors (see below), whose sum is σ = 3212332200. Its totient is φ = 460339200.

The previous prime is 1407172961. The next prime is 1407172993. The reversal of 1407172986 is 6892717041.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1142102025 + 265070961 = 33795^2 + 16281^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2341086 + ... + 2341686.

Almost surely, 21407172986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1407172986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606166100).

1407172986 is an abundant number, since it is smaller than the sum of its proper divisors (1805159214).

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

1407172986 is a wasteful number, since it uses less digits than its factorization.

1407172986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1407172986 is about 37512.3044613364. The cubic root of 1407172986 is about 1120.5962455566.

The spelling of 1407172986 in words is "one billion, four hundred seven million, one hundred seventy-two thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 81 97 149 162 194 291 298 447 582 601 873 894 1202 1341 1746 1803 2619 2682 3606 4023 5238 5409 7857 8046 10818 12069 14453 15714 16227 24138 28906 32454 43359 48681 58297 86718 89549 97362 116594 130077 174891 179098 260154 268647 349782 390231 524673 537294 780462 805941 1049346 1170693 1574019 1611882 2341386 2417823 3148038 4722057 4835646 7253469 8686253 9444114 14506938 17372506 26058759 52117518 78176277 156352554 234528831 469057662 703586493 1407172986