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216793260 = 22345163821
BaseRepresentation
bin11001110110000…
…00000010101100
3120002221020110000
430323000002230
5420444341020
633302344300
75241466215
oct1473000254
9502836400
10216793260
11101412a92
126072b090
1335bb6c48
1420b1440c
1514075090
hexcec00ac

216793260 has 120 divisors (see below), whose sum is σ = 685094256. Its totient is φ = 57386880.

The previous prime is 216793259. The next prime is 216793303. The reversal of 216793260 is 62397612.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 263650 + ... + 264470.

Almost surely, 2216793260 is an apocalyptic number.

216793260 is a gapful number since it is divisible by the number (20) 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 216793260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342547128).

216793260 is an abundant number, since it is smaller than the sum of its proper divisors (468300996).

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

216793260 is a wasteful number, since it uses less digits than its factorization.

216793260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 216793260 is about 14723.9009776621. The cubic root of 216793260 is about 600.7336026796.

The spelling of 216793260 in words is "two hundred sixteen million, seven hundred ninety-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 163 180 270 324 326 405 489 540 652 810 815 821 978 1467 1620 1630 1642 1956 2445 2463 2934 3260 3284 4105 4401 4890 4926 5868 7335 7389 8210 8802 9780 9852 12315 13203 14670 14778 16420 17604 22005 22167 24630 26406 29340 29556 36945 44010 44334 49260 52812 66015 66501 73890 88020 88668 110835 132030 133002 133823 147780 221670 264060 266004 267646 332505 401469 443340 535292 665010 669115 802938 1204407 1330020 1338230 1605876 2007345 2408814 2676460 3613221 4014690 4817628 6022035 7226442 8029380 10839663 12044070 14452884 18066105 21679326 24088140 36132210 43358652 54198315 72264420 108396630 216793260