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166034040 = 233567107193
BaseRepresentation
bin10011110010101…
…11101001111000
3102120102101212220
421321113221320
5320001042130
624250404040
74054160154
oct1171275170
9376371786
10166034040
11857a3917
1247730620
13285240c3
14180a0064
15e89a410
hex9e57a78

166034040 has 128 divisors (see below), whose sum is σ = 512904960. Its totient is φ = 42983424.

The previous prime is 166034023. The next prime is 166034101. The reversal of 166034040 is 40430661.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 166034040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 860184 + ... + 860376.

It is an arithmetic number, because the mean of its divisors is an integer number (4007070).

Almost surely, 2166034040 is an apocalyptic number.

166034040 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 166034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256452480).

166034040 is an abundant number, since it is smaller than the sum of its proper divisors (346870920).

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

166034040 is a wasteful number, since it uses less digits than its factorization.

166034040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 166034040 is about 12885.4196672053. The cubic root of 166034040 is about 549.6240295531.

The spelling of 166034040 in words is "one hundred sixty-six million, thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 107 120 134 193 201 214 268 321 335 386 402 428 535 536 579 642 670 772 804 856 965 1005 1070 1158 1284 1340 1544 1605 1608 1930 2010 2140 2316 2568 2680 2895 3210 3860 4020 4280 4632 5790 6420 7169 7720 8040 11580 12840 12931 14338 20651 21507 23160 25862 28676 35845 38793 41302 43014 51724 57352 61953 64655 71690 77586 82604 86028 103255 103448 107535 123906 129310 143380 155172 165208 172056 193965 206510 215070 247812 258620 286760 309765 310344 387930 413020 430140 495624 517240 619530 775860 826040 860280 1239060 1383617 1551720 2478120 2767234 4150851 5534468 6918085 8301702 11068936 13836170 16603404 20754255 27672340 33206808 41508510 55344680 83017020 166034040