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406063920 = 24351691933
BaseRepresentation
bin11000001101000…
…000101100110000
31001022002011222110
4120031000230300
51312423021140
6104143205320
713030325553
oct3015005460
91038064873
10406063920
11199237919
12b3ba6840
1366185712
143bd0269a
15259b0380
hex18340b30

406063920 has 40 divisors (see below), whose sum is σ = 1258798896. Its totient is φ = 108283648.

The previous prime is 406063909. The next prime is 406063927. The reversal of 406063920 is 29360604.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (406063927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 845727 + ... + 846206.

Almost surely, 2406063920 is an apocalyptic number.

406063920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406063920 is an abundant number, since it is smaller than the sum of its proper divisors (852734976).

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

406063920 is a wasteful number, since it uses less digits than its factorization.

406063920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691949 (or 1691943 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 406063920 is about 20151.0277653523. The cubic root of 406063920 is about 740.5109205978.

The spelling of 406063920 in words is "four hundred six million, sixty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1691933 3383866 5075799 6767732 8459665 10151598 13535464 16919330 20303196 25378995 27070928 33838660 40606392 50757990 67677320 81212784 101515980 135354640 203031960 406063920