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166408980 = 22353774959
BaseRepresentation
bin10011110101100…
…11001100010100
3102121010110012120
421322303030110
5320100041410
624302415540
74060311243
oct1172631424
9377113176
10166408980
1185a2a591
12478915b0
132862596a
141815a95a
15e921570
hex9eb3314

166408980 has 48 divisors (see below), whose sum is σ = 478544640. Its totient is φ = 43175808.

The previous prime is 166408951. The next prime is 166409003. The reversal of 166408980 is 89804661.

166408980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35260 + ... + 39699.

It is an arithmetic number, because the mean of its divisors is an integer number (9969680).

Almost surely, 2166408980 is an apocalyptic number.

166408980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166408980 is an abundant number, since it is smaller than the sum of its proper divisors (312135660).

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

166408980 is a wasteful number, since it uses less digits than its factorization.

166408980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75008 (or 75006 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 166408980 is about 12899.9604650557. The cubic root of 166408980 is about 550.0374409773.

The spelling of 166408980 in words is "one hundred sixty-six million, four hundred eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 74959 149918 224877 299836 374795 449754 749590 899508 1124385 1499180 2248770 2773483 4497540 5546966 8320449 11093932 13867415 16640898 27734830 33281796 41602245 55469660 83204490 166408980