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166043040 = 2535345923
BaseRepresentation
bin10011110010110…
…01110110100000
3102120102212020020
421321121312200
5320001334130
624250513440
74054225332
oct1171316640
9376385206
10166043040
11857aa659
1247735880
1328528227
14180a3452
15e89ce10
hex9e59da0

166043040 has 48 divisors (see below), whose sum is σ = 523037088. Its totient is φ = 44278016.

The previous prime is 166043027. The next prime is 166043083. The reversal of 166043040 is 40340661.

166043040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1660430402 = 55140582264883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 166043040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172482 + ... + 173441.

It is an arithmetic number, because the mean of its divisors is an integer number (10896606).

Almost surely, 2166043040 is an apocalyptic number.

166043040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166043040 is an abundant number, since it is smaller than the sum of its proper divisors (356994048).

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

166043040 is a wasteful number, since it uses less digits than its factorization.

166043040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345941 (or 345933 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 166043040 is about 12885.7688944044. The cubic root of 166043040 is about 549.6339603016.

The spelling of 166043040 in words is "one hundred sixty-six million, forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 345923 691846 1037769 1383692 1729615 2075538 2767384 3459230 4151076 5188845 5534768 6918460 8302152 10377690 11069536 13836920 16604304 20755380 27673840 33208608 41510760 55347680 83021520 166043040