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7266930 = 2351119261
BaseRepresentation
bin11011101110001001110010
3111200012100120
4123232021302
53330020210
6415431110
7115524246
oct33561162
914605316
107266930
114113830
122525496
131675878
14d72426
15988270
hex6ee272

7266930 has 96 divisors (see below), whose sum is σ = 20409408. Its totient is φ = 1641600.

The previous prime is 7266929. The next prime is 7266947. The reversal of 7266930 is 396627.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7266891 and 7266900.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 119100 + ... + 119160.

It is an arithmetic number, because the mean of its divisors is an integer number (212598).

Almost surely, 27266930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7266930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10204704).

7266930 is an abundant number, since it is smaller than the sum of its proper divisors (13142478).

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

7266930 is a wasteful number, since it uses less digits than its factorization.

7266930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 7266930 is about 2695.7243924407. The cubic root of 7266930 is about 193.6943676557.

It can be divided in two parts, 72 and 66930, that multiplied together give a triangular number (4818960 = T3104).

The spelling of 7266930 in words is "seven million, two hundred sixty-six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 61 66 95 110 114 122 165 183 190 209 285 305 330 361 366 418 570 610 627 671 722 915 1045 1083 1159 1254 1342 1805 1830 2013 2090 2166 2318 3135 3355 3477 3610 3971 4026 5415 5795 6270 6710 6954 7942 10065 10830 11590 11913 12749 17385 19855 20130 22021 23826 25498 34770 38247 39710 44042 59565 63745 66063 76494 110105 119130 127490 132126 191235 220210 242231 330315 382470 484462 660630 726693 1211155 1453386 2422310 3633465 7266930