Search a number
-
+
5429680 = 245671013
BaseRepresentation
bin10100101101100110110000
3101012212010021
4110231212300
52342222210
6312213224
764102654
oct24554660
911185107
105429680
113079443
12199a214
131181539
14a14a64
15723bda
hex52d9b0

5429680 has 40 divisors (see below), whose sum is σ = 12825072. Its totient is φ = 2137344.

The previous prime is 5429657. The next prime is 5429701. The reversal of 5429680 is 869245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4854 + ... + 5866.

Almost surely, 25429680 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 5429680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6412536).

5429680 is an abundant number, since it is smaller than the sum of its proper divisors (7395392).

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

5429680 is a wasteful number, since it uses less digits than its factorization.

5429680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 5429680 is about 2330.1673759625. The cubic root of 5429680 is about 175.7619025587.

The spelling of 5429680 in words is "five million, four hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1013 1072 1340 2026 2680 4052 5065 5360 8104 10130 16208 20260 40520 67871 81040 135742 271484 339355 542968 678710 1085936 1357420 2714840 5429680