Search a number
-
+
5370461406 = 2332310341981
BaseRepresentation
bin1010000000001101…
…01011110011011110
3111212021110201002000
411000012223303132
541444314231111
62244523343130
7250041111612
oct50006536336
914767421060
105370461406
112306538162
12105a681aa6
1367782a21b
1438d377342
15216732c56
hex1401abcde

5370461406 has 64 divisors (see below), whose sum is σ = 12574448640. Its totient is φ = 1695656160.

The previous prime is 5370461401. The next prime is 5370461417. The reversal of 5370461406 is 6041640735.

It is a happy number.

5370461406 is a `hidden beast` number, since 5 + 37 + 0 + 4 + 614 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5370461401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106936 + ... + 148916.

It is an arithmetic number, because the mean of its divisors is an integer number (196475760).

Almost surely, 25370461406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5370461406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6287224320).

5370461406 is an abundant number, since it is smaller than the sum of its proper divisors (7203987234).

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

5370461406 is a wasteful number, since it uses less digits than its factorization.

5370461406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42118 (or 42112 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5370461406 is about 73283.4320020562. The cubic root of 5370461406 is about 1751.2058525523.

The spelling of 5370461406 in words is "five billion, three hundred seventy million, four hundred sixty-one thousand, four hundred six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 103 138 206 207 309 414 618 621 927 1242 1854 2369 2781 4738 5562 7107 14214 21321 41981 42642 63963 83962 125943 127926 251886 377829 755658 965563 1133487 1931126 2266974 2896689 4324043 5793378 8648086 8690067 12972129 17380134 25944258 26070201 38916387 52140402 77832774 99452989 116749161 198905978 233498322 298358967 596717934 895076901 1790153802 2685230703 5370461406