Search a number
-
+
166040496 = 24331723983
BaseRepresentation
bin10011110010110…
…01001110110000
3102120102201202000
421321121032300
5320001243441
624250454000
74054215036
oct1171311660
9376381660
10166040496
11857a8756
1247734300
132852701b
14180a2556
15e89c2b6
hex9e593b0

166040496 has 160 divisors (see below), whose sum is σ = 527109120. Its totient is φ = 49775616.

The previous prime is 166040491. The next prime is 166040507. The reversal of 166040496 is 694040661.

166040496 is a `hidden beast` number, since 1 + 6 + 604 + 0 + 49 + 6 = 666.

166040496 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 166040496.

It is not an unprimeable number, because it can be changed into a prime (166040491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168421 + ... + 169403.

It is an arithmetic number, because the mean of its divisors is an integer number (3294432).

Almost surely, 2166040496 is an apocalyptic number.

166040496 is a gapful number since it is divisible by the number (16) 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 166040496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263554560).

166040496 is an abundant number, since it is smaller than the sum of its proper divisors (361068624).

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

166040496 is a wasteful number, since it uses less digits than its factorization.

166040496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 166040496 is about 12885.6701804757. The cubic root of 166040496 is about 549.6311532464.

The spelling of 166040496 in words is "one hundred sixty-six million, forty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 27 34 36 46 48 51 54 68 69 72 92 102 108 136 138 144 153 184 204 207 216 272 276 306 368 391 408 414 432 459 552 612 621 782 816 828 918 983 1104 1173 1224 1242 1564 1656 1836 1966 2346 2448 2484 2949 3128 3312 3519 3672 3932 4692 4968 5898 6256 7038 7344 7864 8847 9384 9936 10557 11796 14076 15728 16711 17694 18768 21114 22609 23592 26541 28152 33422 35388 42228 45218 47184 50133 53082 56304 66844 67827 70776 84456 90436 100266 106164 133688 135654 141552 150399 168912 180872 200532 203481 212328 267376 271308 300798 361744 384353 401064 406962 424656 451197 542616 601596 610443 768706 802128 813924 902394 1085232 1153059 1203192 1220886 1537412 1627848 1804788 2306118 2406384 2441772 3074824 3255696 3459177 3609576 4612236 4883544 6149648 6918354 7219152 9224472 9767088 10377531 13836708 18448944 20755062 27673416 41510124 55346832 83020248 166040496