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166204640 = 2557314787
BaseRepresentation
bin10011110100000…
…01010011100000
3102120202001220102
421322001103200
5320022022030
624254201532
74055500430
oct1172012340
9376661812
10166204640
1185900008
12477b32a8
1328583954
14181062c0
15e8d0c45
hex9e814e0

166204640 has 96 divisors (see below), whose sum is σ = 463325184. Its totient is φ = 55134720.

The previous prime is 166204627. The next prime is 166204667. The reversal of 166204640 is 46402661.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32327 + ... + 37113.

It is an arithmetic number, because the mean of its divisors is an integer number (4826304).

Almost surely, 2166204640 is an apocalyptic number.

166204640 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 166204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231662592).

166204640 is an abundant number, since it is smaller than the sum of its proper divisors (297120544).

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

166204640 is a wasteful number, since it uses less digits than its factorization.

166204640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 166204640 is about 12892.0378528765. The cubic root of 166204640 is about 549.8122113720.

The spelling of 166204640 in words is "one hundred sixty-six million, two hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 992 1085 1120 1240 1736 2170 2480 3472 4340 4787 4960 6944 8680 9574 17360 19148 23935 33509 34720 38296 47870 67018 76592 95740 134036 148397 153184 167545 191480 268072 296794 335090 382960 536144 593588 670180 741985 765920 1038779 1072288 1187176 1340360 1483970 2077558 2374352 2680720 2967940 4155116 4748704 5193895 5361440 5935880 8310232 10387790 11871760 16620464 20775580 23743520 33240928 41551160 83102320 166204640