Search a number
-
+
281364940 = 225611671381
BaseRepresentation
bin10000110001010…
…100100111001100
3201121102211010201
4100301110213030
51034012134230
643530343244
76654363643
oct2061244714
9647384121
10281364940
1113490670a
127a28ab24
13463a4a3c
142952235a
1519a7c5ca
hex10c549cc

281364940 has 48 divisors (see below), whose sum is σ = 604586304. Its totient is φ = 109958400.

The previous prime is 281364929. The next prime is 281364971. The reversal of 281364940 is 49463182.

It is a super-3 number, since 3×2813649403 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 281364940.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203050 + ... + 204430.

It is an arithmetic number, because the mean of its divisors is an integer number (12595548).

Almost surely, 2281364940 is an apocalyptic number.

281364940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

281364940 is an abundant number, since it is smaller than the sum of its proper divisors (323221364).

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

281364940 is a wasteful number, since it uses less digits than its factorization.

281364940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 281364940 is about 16773.9363299137. The cubic root of 281364940 is about 655.2745891419.

The spelling of 281364940 in words is "two hundred eighty-one million, three hundred sixty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 61 122 167 244 305 334 610 668 835 1220 1381 1670 2762 3340 5524 6905 10187 13810 20374 27620 40748 50935 84241 101870 168482 203740 230627 336964 421205 461254 842410 922508 1153135 1684820 2306270 4612540 14068247 28136494 56272988 70341235 140682470 281364940