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428103360 = 2633549549
BaseRepresentation
bin11001100001000…
…101011011000000
31002211112220102000
4121201011123000
51334043301420
6110251424000
713415550516
oct3141053300
91084486360
10428103360
111aa720433
12bb455000
136a9011c9
1440bdc4b6
15278b5690
hex198456c0

428103360 has 112 divisors (see below), whose sum is σ = 1510284000. Its totient is φ = 114158592.

The previous prime is 428103349. The next prime is 428103407. The reversal of 428103360 is 63301824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 16135 + ... + 33414.

Almost surely, 2428103360 is an apocalyptic number.

428103360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428103360 is an abundant number, since it is smaller than the sum of its proper divisors (1082180640).

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

428103360 is a wasteful number, since it uses less digits than its factorization.

428103360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49575 (or 49559 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 428103360 is about 20690.6587618664. The cubic root of 428103360 is about 753.6728640651.

The spelling of 428103360 in words is "four hundred twenty-eight million, one hundred three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 49549 99098 148647 198196 247745 297294 396392 445941 495490 594588 743235 792784 891882 990980 1189176 1337823 1486470 1585568 1783764 1981960 2229705 2378352 2675646 2972940 3171136 3567528 3963920 4459410 4756704 5351292 5945880 6689115 7135056 7927840 8918820 9513408 10702584 11891760 13378230 14270112 15855680 17837640 21405168 23783520 26756460 28540224 35675280 42810336 47567040 53512920 71350560 85620672 107025840 142701120 214051680 428103360