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406401012 = 223229389273
BaseRepresentation
bin11000001110010…
…010111111110100
31001022201022101100
4120032102333310
51313014313022
6104154330100
713033231413
oct3016227764
91038638340
10406401012
11199448106
12b4129930
1366272c94
143bd8d47a
1525a2a1ac
hex18392ff4

406401012 has 36 divisors (see below), whose sum is σ = 1062718020. Its totient is φ = 130795392.

The previous prime is 406400999. The next prime is 406401019. The reversal of 406401012 is 210104604.

406401012 is a `hidden beast` number, since 4 + 0 + 640 + 10 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 237036816 + 169364196 = 15396^2 + 13014^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406401019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193593 + ... + 195680.

It is an arithmetic number, because the mean of its divisors is an integer number (29519945).

Almost surely, 2406401012 is an apocalyptic number.

It is an amenable number.

406401012 is an abundant number, since it is smaller than the sum of its proper divisors (656317008).

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

406401012 is a wasteful number, since it uses less digits than its factorization.

406401012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389312 (or 389307 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 406401012 is about 20159.3901693479. The cubic root of 406401012 is about 740.7157744424.

Adding to 406401012 its reverse (210104604), we get a palindrome (616505616).

The spelling of 406401012 in words is "four hundred six million, four hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 389273 778546 1167819 1557092 2335638 3503457 4671276 7006914 11288917 14013828 22577834 33866751 45155668 67733502 101600253 135467004 203200506 406401012