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166315940 = 22572634517
BaseRepresentation
bin10011110100111…
…00011110100100
3102120221201120122
421322130132210
5320034102230
624300421112
74056443060
oct1172343644
9376851518
10166315940
118597669a
1247847798
13285c24cb
1418134aa0
15e903be5
hex9e9c7a4

166315940 has 48 divisors (see below), whose sum is σ = 400764672. Its totient is φ = 56793216.

The previous prime is 166315931. The next prime is 166315943. The reversal of 166315940 is 49513661.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 166315940.

It is not an unprimeable number, because it can be changed into a prime (166315943) 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, 34562 + ... + 39078.

It is an arithmetic number, because the mean of its divisors is an integer number (8349264).

Almost surely, 2166315940 is an apocalyptic number.

166315940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166315940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200382336).

166315940 is an abundant number, since it is smaller than the sum of its proper divisors (234448732).

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

166315940 is a wasteful number, since it uses less digits than its factorization.

166315940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 166315940 is about 12896.3537482499. The cubic root of 166315940 is about 549.9349124080.

The spelling of 166315940 in words is "one hundred sixty-six million, three hundred fifteen thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 263 526 1052 1315 1841 2630 3682 4517 5260 7364 9034 9205 18068 18410 22585 31619 36820 45170 63238 90340 126476 158095 316190 632380 1187971 2375942 4751884 5939855 8315797 11879710 16631594 23759420 33263188 41578985 83157970 166315940