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55670406 = 231136971
BaseRepresentation
bin1101010001011…
…1011010000110
310212202100102220
43110113122012
5103222423111
65305113210
71244122251
oct324273206
9125670386
1055670406
1129474000
1216788806
13b6c238c
147572098
154d49e06
hex3517686

55670406 has 32 divisors (see below), whose sum is σ = 122484096. Its totient is φ = 16867400.

The previous prime is 55670371. The next prime is 55670441. The reversal of 55670406 is 60407655.

55670406 = 12262 + 12272 + ... + 12612.

55670406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55670371) and next prime (55670441).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4501 + ... + 11471.

It is an arithmetic number, because the mean of its divisors is an integer number (3827628).

Almost surely, 255670406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55670406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61242048).

55670406 is an abundant number, since it is smaller than the sum of its proper divisors (66813690).

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

55670406 is a wasteful number, since it uses less digits than its factorization.

55670406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7009 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 55670406 is about 7461.2603492976. The cubic root of 55670406 is about 381.8341750773.

The spelling of 55670406 in words is "fifty-five million, six hundred seventy thousand, four hundred six".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1331 2662 3993 6971 7986 13942 20913 41826 76681 153362 230043 460086 843491 1686982 2530473 5060946 9278401 18556802 27835203 55670406