Search a number
-
+
427503420 = 223451719243
BaseRepresentation
bin11001011110110…
…010111100111100
31002210102102110000
4121132302330330
51333420102140
6110230514300
713410501441
oct3136627474
91083372400
10427503420
111aa350713
12bb205990
136a751106
1440ac39c8
15277e7a30
hex197b2f3c

427503420 has 360 divisors, whose sum is σ = 1533503664. Its totient is φ = 99283968.

The previous prime is 427503409. The next prime is 427503421. The reversal of 427503420 is 24305724.

427503420 is a nontrivial binomial coefficient, being equal to C(29241, 2).

It is a super-2 number, since 2×4275034202 = 365518348223392800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427503421) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9941919 + ... + 9941961.

Almost surely, 2427503420 is an apocalyptic number.

427503420 is the 29240-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427503420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766751832).

427503420 is an abundant number, since it is smaller than the sum of its proper divisors (1106000244).

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

427503420 is a wasteful number, since it uses less digits than its factorization.

427503420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 427503420 is about 20676.1558322624. The cubic root of 427503420 is about 753.3206361362.

The spelling of 427503420 in words is "four hundred twenty-seven million, five hundred three thousand, four hundred twenty".