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166142600 = 23521363901
BaseRepresentation
bin10011110011100…
…10001010001000
3102120121220210122
421321302022020
5320013030400
624253002412
74055121521
oct1171621210
9376556718
10166142600
1185868438
1247783408
1328561640
14180cb848
15e8bc685
hex9e72288

166142600 has 48 divisors (see below), whose sum is σ = 416002020. Its totient is φ = 61344000.

The previous prime is 166142597. The next prime is 166142621. The reversal of 166142600 is 6241661.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 72556324 + 93586276 = 8518^2 + 9674^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 166142600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29351 + ... + 34550.

Almost surely, 2166142600 is an apocalyptic number.

166142600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166142600 is an abundant number, since it is smaller than the sum of its proper divisors (249859420).

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

166142600 is a wasteful number, since it uses less digits than its factorization.

166142600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63930 (or 63921 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 166142600 is about 12889.6314920171. The cubic root of 166142600 is about 549.7437925147.

The spelling of 166142600 in words is "one hundred sixty-six million, one hundred forty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 63901 127802 255604 319505 511208 639010 830713 1278020 1597525 1661426 2556040 3195050 3322852 4153565 6390100 6645704 8307130 12780200 16614260 20767825 33228520 41535650 83071300 166142600