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166437140 = 225173115791
BaseRepresentation
bin10011110101110…
…10000100010100
3102121011212211112
421322322010110
5320101442030
624303154152
74060456322
oct1172720424
9377155745
10166437140
1185a49761
12478a5958
132863571c
1418166d12
15e929a95
hex9eba114

166437140 has 48 divisors (see below), whose sum is σ = 382040064. Its totient is φ = 60633600.

The previous prime is 166437127. The next prime is 166437197. The reversal of 166437140 is 41734661.

It is a junction number, because it is equal to n+sod(n) for n = 166437097 and 166437106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2645 + ... + 18435.

It is an arithmetic number, because the mean of its divisors is an integer number (7959168).

Almost surely, 2166437140 is an apocalyptic number.

166437140 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 166437140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191020032).

166437140 is an abundant number, since it is smaller than the sum of its proper divisors (215602924).

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

166437140 is a wasteful number, since it uses less digits than its factorization.

166437140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15848 (or 15846 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 166437140 is about 12901.0518950975. The cubic root of 166437140 is about 550.0684653061.

The spelling of 166437140 in words is "one hundred sixty-six million, four hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 2108 2635 5270 10540 15791 31582 63164 78955 157910 268447 315820 489521 536894 979042 1073788 1342235 1958084 2447605 2684470 4895210 5368940 8321857 9790420 16643714 33287428 41609285 83218570 166437140