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166241088 = 2632131492
BaseRepresentation
bin10011110100010…
…10001101000000
3102120210220220100
421322022031000
5320024203323
624255042400
74056011616
oct1172121500
9376726810
10166241088
1185925432
1247810400
1328597410
14181156b6
15e8db943
hex9e8a340

166241088 has 126 divisors (see below), whose sum is σ = 516621014. Its totient is φ = 50807808.

The previous prime is 166241083. The next prime is 166241093. The reversal of 166241088 is 880142661.

166241088 is a `hidden beast` number, since 16 + 624 + 10 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (166241083) and next prime (166241093).

It can be written as a sum of positive squares in 3 ways, for example, as 9290304 + 156950784 = 3048^2 + 12528^2 .

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 (166241083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1115638 + ... + 1115786.

Almost surely, 2166241088 is an apocalyptic number.

166241088 is a gapful number since it is divisible by the number (18) 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 166241088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258310507).

166241088 is an abundant number, since it is smaller than the sum of its proper divisors (350379926).

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

166241088 is a wasteful number, since it uses less digits than its factorization.

166241088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 166241088 is about 12893.4513610592. The cubic root of 166241088 is about 549.8523989600.

The spelling of 166241088 in words is "one hundred sixty-six million, two hundred forty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 149 156 192 208 234 288 298 312 416 447 468 576 596 624 832 894 936 1192 1248 1341 1788 1872 1937 2384 2496 2682 3576 3744 3874 4768 5364 5811 7152 7488 7748 9536 10728 11622 14304 15496 17433 21456 22201 23244 28608 30992 34866 42912 44402 46488 61984 66603 69732 85824 88804 92976 123968 133206 139464 177608 185952 199809 266412 278928 288613 355216 371904 399618 532824 557856 577226 710432 799236 865839 1065648 1115712 1154452 1420864 1598472 1731678 2131296 2308904 2597517 3196944 3463356 4262592 4617808 5195034 6393888 6926712 9235616 10390068 12787776 13853424 18471232 20780136 27706848 41560272 55413696 83120544 166241088