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427540200 = 233524715161
BaseRepresentation
bin11001011110111…
…011111011101000
31002210111021220020
4121132323323220
51333422241300
6110231400440
713411013613
oct3136737350
91083437806
10427540200
111aa37630a
12bb223120
136a764a89
1440ad317a
15278038a0
hex197bbee8

427540200 has 96 divisors (see below), whose sum is σ = 1353663360. Its totient is φ = 111577600.

The previous prime is 427540177. The next prime is 427540213. The reversal of 427540200 is 2045724.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20620 + ... + 35780.

It is an arithmetic number, because the mean of its divisors is an integer number (14100660).

Almost surely, 2427540200 is an apocalyptic number.

427540200 is a gapful number since it is divisible by the number (40) 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 427540200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676831680).

427540200 is an abundant number, since it is smaller than the sum of its proper divisors (926123160).

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

427540200 is a wasteful number, since it uses less digits than its factorization.

427540200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15227 (or 15218 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 427540200 is about 20677.0452434578. The cubic root of 427540200 is about 753.3422393462.

Adding to 427540200 its reverse (2045724), we get a palindrome (429585924).

The spelling of 427540200 in words is "four hundred twenty-seven million, five hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 120 141 150 188 200 235 282 300 376 470 564 600 705 940 1128 1175 1410 1880 2350 2820 3525 4700 5640 7050 9400 14100 15161 28200 30322 45483 60644 75805 90966 121288 151610 181932 227415 303220 363864 379025 454830 606440 712567 758050 909660 1137075 1425134 1516100 1819320 2137701 2274150 2850268 3032200 3562835 4275402 4548300 5700536 7125670 8550804 9096600 10688505 14251340 17101608 17814175 21377010 28502680 35628350 42754020 53442525 71256700 85508040 106885050 142513400 213770100 427540200