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427053900 = 2235271315643
BaseRepresentation
bin11001011101000…
…101001101001100
31002202120120211010
4121131011031030
51333311211100
6110213125220
713403620050
oct3135051514
91082516733
10427053900
111aa073a09
12bb029810
136a624620
1440a07c60
1527759750
hex1974534c

427053900 has 144 divisors (see below), whose sum is σ = 1520847104. Its totient is φ = 90097920.

The previous prime is 427053871. The next prime is 427053901. The reversal of 427053900 is 9350724.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (427053901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19479 + ... + 35121.

Almost surely, 2427053900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427053900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760423552).

427053900 is an abundant number, since it is smaller than the sum of its proper divisors (1093793204).

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

427053900 is a wasteful number, since it uses less digits than its factorization.

427053900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15680 (or 15673 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 427053900 is about 20665.2824805276. The cubic root of 427053900 is about 753.0565045630.

The spelling of 427053900 in words is "four hundred twenty-seven million, fifty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1050 1092 1300 1365 1820 1950 2100 2275 2730 3900 4550 5460 6825 9100 13650 15643 27300 31286 46929 62572 78215 93858 109501 156430 187716 203359 219002 234645 312860 328503 391075 406718 438004 469290 547505 610077 657006 782150 813436 938580 1016795 1095010 1173225 1220154 1314012 1423513 1564300 1642515 2033590 2190020 2346450 2440308 2737525 2847026 3050385 3285030 4067180 4270539 4692900 5083975 5475050 5694052 6100770 6570060 7117565 8212575 8541078 10167950 10950100 12201540 14235130 15251925 16425150 17082156 20335900 21352695 28470260 30503850 32850300 35587825 42705390 61007700 71175650 85410780 106763475 142351300 213526950 427053900