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166042440 = 23335153743
BaseRepresentation
bin10011110010110…
…01101101001000
3102120102211102000
421321121231020
5320001324230
624250511000
74054223514
oct1171315510
9376384360
10166042440
11857aa163
1247735460
1328527b85
14180a3144
15e89cb60
hex9e59b48

166042440 has 64 divisors (see below), whose sum is σ = 553478400. Its totient is φ = 44277696.

The previous prime is 166042439. The next prime is 166042447. The reversal of 166042440 is 44240661.

166042440 is a `hidden beast` number, since 16 + 604 + 2 + 4 + 40 = 666.

166042440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (166042447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75792 + ... + 77951.

It is an arithmetic number, because the mean of its divisors is an integer number (8648100).

Almost surely, 2166042440 is an apocalyptic number.

166042440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166042440 is an abundant number, since it is smaller than the sum of its proper divisors (387435960).

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

166042440 is a wasteful number, since it uses less digits than its factorization.

166042440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153763 (or 153753 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 166042440 is about 12885.7456128856. The cubic root of 166042440 is about 549.6332982629.

It can be divided in two parts, 16604 and 2440, that added together give a square (19044 = 1382).

The spelling of 166042440 in words is "one hundred sixty-six million, forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 153743 307486 461229 614972 768715 922458 1229944 1383687 1537430 1844916 2306145 2767374 3074860 3689832 4151061 4612290 5534748 6149720 6918435 8302122 9224580 11069496 13836870 16604244 18449160 20755305 27673740 33208488 41510610 55347480 83021220 166042440