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274992480 = 25325727281
BaseRepresentation
bin10000011001000…
…000110101100000
3201011110001202200
4100121000311200
51030344224410
643142013200
76546253230
oct2031006540
9634401680
10274992480
11131253a14
1278117200
1344c83359
1428743cc0
151921e3c0
hex10640d60

274992480 has 144 divisors (see below), whose sum is σ = 1072509984. Its totient is φ = 62853120.

The previous prime is 274992409. The next prime is 274992499. The reversal of 274992480 is 84299472.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3561 + ... + 23720.

It is an arithmetic number, because the mean of its divisors is an integer number (7447986).

Almost surely, 2274992480 is an apocalyptic number.

274992480 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 274992480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536254992).

274992480 is an abundant number, since it is smaller than the sum of its proper divisors (797517504).

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

274992480 is a wasteful number, since it uses less digits than its factorization.

274992480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27309 (or 27298 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 274992480 is about 16582.8972136958. The cubic root of 274992480 is about 650.2897958276.

The spelling of 274992480 in words is "two hundred seventy-four million, nine hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 27281 54562 81843 109124 136405 163686 190967 218248 245529 272810 327372 381934 409215 436496 491058 545620 572901 654744 763868 818430 872992 954835 982116 1091240 1145802 1227645 1309488 1527736 1636860 1718703 1909670 1964232 2182480 2291604 2455290 2618976 2864505 3055472 3273720 3437406 3819340 3928464 4364960 4583208 4910580 5729010 6110944 6547440 6874812 7638680 7856928 8593515 9166416 9821160 11458020 13094880 13749624 15277360 17187030 18332832 19642320 22916040 27499248 30554720 34374060 39284640 45832080 54998496 68748120 91664160 137496240 274992480