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55166670 = 234513331
BaseRepresentation
bin1101001001110…
…0011011001110
310211210202110000
43102130123032
5103110313140
65250225130
71236623526
oct322343316
9124722400
1055166670
112915a599
12165851a6
13b577000
147480686
154c9aa30
hex349c6ce

55166670 has 160 divisors (see below), whose sum is σ = 165876480. Its totient is φ = 13141440.

The previous prime is 55166669. The next prime is 55166677. The reversal of 55166670 is 7666155.

55166670 = T72 + T73 + ... + T691.

It is a happy number.

It is a super-2 number, since 2×551666702 = 6086722957777800, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55166677) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1779555 + ... + 1779585.

It is an arithmetic number, because the mean of its divisors is an integer number (1036728).

Almost surely, 255166670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55166670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82938240).

55166670 is an abundant number, since it is smaller than the sum of its proper divisors (110709810).

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

55166670 is a wasteful number, since it uses less digits than its factorization.

55166670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 55166670 is about 7427.4268761126. The cubic root of 55166670 is about 380.6790029907.

The spelling of 55166670 in words is "fifty-five million, one hundred sixty-six thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 31 39 45 54 62 65 78 81 90 93 117 130 135 155 162 169 186 195 234 270 279 310 338 351 390 403 405 465 507 558 585 702 806 810 837 845 930 1014 1053 1170 1209 1395 1521 1674 1690 1755 2015 2106 2197 2418 2511 2535 2790 3042 3510 3627 4030 4185 4394 4563 5022 5070 5239 5265 6045 6591 7254 7605 8370 9126 10478 10530 10881 10985 12090 12555 13182 13689 15210 15717 18135 19773 21762 21970 22815 25110 26195 27378 31434 32643 32955 36270 39546 45630 47151 52390 54405 59319 65286 65910 68107 68445 78585 94302 98865 108810 118638 136214 136890 141453 157170 163215 177957 197730 204321 235755 282906 296595 326430 340535 355914 408642 424359 471510 593190 612963 681070 707265 848718 889785 1021605 1225926 1414530 1779570 1838889 2043210 2121795 3064815 3677778 4243590 5516667 6129630 9194445 11033334 18388890 27583335 55166670