Search a number
-
+
420375672 = 23325838551
BaseRepresentation
bin11001000011100…
…110110001111000
31002022000022000100
4121003212301320
51330104010142
6105414035400
713263064023
oct3103466170
91068008010
10420375672
111a6322512
12b8948b60
1369126a02
143db8a1ba
1526d8ab4c
hex190e6c78

420375672 has 24 divisors (see below), whose sum is σ = 1138517640. Its totient is φ = 140125200.

The previous prime is 420375653. The next prime is 420375673. The reversal of 420375672 is 276573024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420375673) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2919204 + ... + 2919347.

It is an arithmetic number, because the mean of its divisors is an integer number (47438235).

Almost surely, 2420375672 is an apocalyptic number.

It is an amenable number.

420375672 is an abundant number, since it is smaller than the sum of its proper divisors (718141968).

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

420375672 is a wasteful number, since it uses less digits than its factorization.

420375672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5838563 (or 5838556 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 420375672 is about 20503.0649416130. The cubic root of 420375672 is about 749.1104546960.

The spelling of 420375672 in words is "four hundred twenty million, three hundred seventy-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5838551 11677102 17515653 23354204 35031306 46708408 52546959 70062612 105093918 140125224 210187836 420375672