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166600980 = 2232572131453
BaseRepresentation
bin10011110111000…
…10000100010100
3102121111012120200
421323202010110
5320122212410
624310500500
74062041100
oct1173420424
9377435520
10166600980
1186050867
1247964730
1328692180
14181aa900
15e95d3c0
hex9ee2114

166600980 has 216 divisors, whose sum is σ = 633519432. Its totient is φ = 35126784.

The previous prime is 166600979. The next prime is 166600981. The reversal of 166600980 is 89006661.

It is an interprime number because it is at equal distance from previous prime (166600979) and next prime (166600981).

It can be written as a sum of positive squares in 4 ways, for example, as 30272004 + 136328976 = 5502^2 + 11676^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166600981) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 113934 + ... + 115386.

Almost surely, 2166600980 is an apocalyptic number.

166600980 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 166600980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316759716).

166600980 is an abundant number, since it is smaller than the sum of its proper divisors (466918452).

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

166600980 is a wasteful number, since it uses less digits than its factorization.

166600980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 166600980 is about 12907.4002029843. The cubic root of 166600980 is about 550.2489011175.

The spelling of 166600980 in words is "one hundred sixty-six million, six hundred thousand, nine hundred eighty".