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166540640 = 2557241617
BaseRepresentation
bin10011110110100…
…11010101100000
3102121101010210212
421323103111200
5320113300030
624305313252
74061400140
oct1173232540
9377333725
10166540640
118600a4a2
1247935828
1328670876
1418192920
15e94a595
hex9ed3560

166540640 has 96 divisors (see below), whose sum is σ = 452257344. Its totient is φ = 56770560.

The previous prime is 166540639. The next prime is 166540691. The reversal of 166540640 is 46045661.

166540640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 166540597 and 166540606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269612 + ... + 270228.

It is an arithmetic number, because the mean of its divisors is an integer number (4711014).

Almost surely, 2166540640 is an apocalyptic number.

166540640 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 166540640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226128672).

166540640 is an abundant number, since it is smaller than the sum of its proper divisors (285716704).

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

166540640 is a wasteful number, since it uses less digits than its factorization.

166540640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 166540640 is about 12905.0625724946. The cubic root of 166540640 is about 550.1824628771.

The spelling of 166540640 in words is "one hundred sixty-six million, five hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 241 280 482 560 617 964 1120 1205 1234 1687 1928 2410 2468 3085 3374 3856 4319 4820 4936 6170 6748 7712 8435 8638 9640 9872 12340 13496 16870 17276 19280 19744 21595 24680 26992 33740 34552 38560 43190 49360 53984 67480 69104 86380 98720 134960 138208 148697 172760 269920 297394 345520 594788 691040 743485 1040879 1189576 1486970 2081758 2379152 2973940 4163516 4758304 5204395 5947880 8327032 10408790 11895760 16654064 20817580 23791520 33308128 41635160 83270320 166540640