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5406660 = 2232572613
BaseRepresentation
bin10100100111111111000100
3101011200112200
4110213333010
52341003120
6311514500
763645600
oct24477704
911150480
105406660
113063116
121988a30
131173c0c
14a0a500
1571be90
hex527fc4

5406660 has 108 divisors (see below), whose sum is σ = 19108908. Its totient is φ = 1233792.

The previous prime is 5406649. The next prime is 5406671. The reversal of 5406660 is 666045.

It is an interprime number because it is at equal distance from previous prime (5406649) and next prime (5406671).

It can be written as a sum of positive squares in 2 ways, for example, as 636804 + 4769856 = 798^2 + 2184^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8514 + ... + 9126.

Almost surely, 25406660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5406660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9554454).

5406660 is an abundant number, since it is smaller than the sum of its proper divisors (13702248).

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

5406660 is a wasteful number, since it uses less digits than its factorization.

5406660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5406660 is about 2325.2225699920. Note that the first 3 decimals coincide. The cubic root of 5406660 is about 175.5131604322.

The spelling of 5406660 in words is "five million, four hundred six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 613 630 735 882 980 1226 1260 1470 1764 1839 2205 2452 2940 3065 3678 4291 4410 5517 6130 7356 8582 8820 9195 11034 12260 12873 17164 18390 21455 22068 25746 27585 30037 36780 38619 42910 51492 55170 60074 64365 77238 85820 90111 110340 120148 128730 150185 154476 180222 193095 257460 270333 300370 360444 386190 450555 540666 600740 772380 901110 1081332 1351665 1802220 2703330 5406660