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166607928 = 2334416271
BaseRepresentation
bin10011110111000…
…11110000111000
3102121111120010000
421323203300320
5320122423203
624310553000
74062100254
oct1173436070
9377446100
10166607928
1186056003
1247968760
1328695396
14181ad264
15e9604a3
hex9ee3c38

166607928 has 80 divisors (see below), whose sum is σ = 478114560. Its totient is φ = 54172800.

The previous prime is 166607927. The next prime is 166607933. The reversal of 166607928 is 829706661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166607927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23433 + ... + 29703.

It is an arithmetic number, because the mean of its divisors is an integer number (5976432).

Almost surely, 2166607928 is an apocalyptic number.

166607928 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 166607928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239057280).

166607928 is an abundant number, since it is smaller than the sum of its proper divisors (311506632).

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

166607928 is a wasteful number, since it uses less digits than its factorization.

166607928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330 (or 6317 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 166607928 is about 12907.6693481046. The cubic root of 166607928 is about 550.2565502847.

The spelling of 166607928 in words is "one hundred sixty-six million, six hundred seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 246 324 328 369 492 648 738 984 1107 1476 2214 2952 3321 4428 6271 6642 8856 12542 13284 18813 25084 26568 37626 50168 56439 75252 112878 150504 169317 225756 257111 338634 451512 507951 514222 677268 771333 1015902 1028444 1354536 1542666 2031804 2056888 2313999 3085332 4063608 4627998 6170664 6941997 9255996 13883994 18511992 20825991 27767988 41651982 55535976 83303964 166607928