Search a number
-
+
423840920 = 23537733923
BaseRepresentation
bin11001010000110…
…100110010011000
31002112112100102212
4121100310302120
51332000402140
6110020214252
713334405546
oct3120646230
91075470385
10423840920
111a8279a58
12b9b3a388
1369a6b059
144040cd96
1527322765
hex19434c98

423840920 has 64 divisors (see below), whose sum is σ = 993085920. Its totient is φ = 162653184.

The previous prime is 423840919. The next prime is 423840929. The reversal of 423840920 is 29048324.

It is a super-2 number, since 2×4238409202 = 359282250932892800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423840929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106079 + ... + 110001.

Almost surely, 2423840920 is an apocalyptic number.

423840920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423840920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496542960).

423840920 is an abundant number, since it is smaller than the sum of its proper divisors (569245000).

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

423840920 is a wasteful number, since it uses less digits than its factorization.

423840920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 423840920 is about 20587.3971157113. The cubic root of 423840920 is about 751.1631846988.

The spelling of 423840920 in words is "four hundred twenty-three million, eight hundred forty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 73 74 146 148 185 292 296 365 370 584 730 740 1460 1480 2701 2920 3923 5402 7846 10804 13505 15692 19615 21608 27010 31384 39230 54020 78460 108040 145151 156920 286379 290302 572758 580604 725755 1145516 1161208 1431895 1451510 2291032 2863790 2903020 5727580 5806040 10596023 11455160 21192046 42384092 52980115 84768184 105960230 211920460 423840920