Search a number
-
+
454050120 = 233512772963
BaseRepresentation
bin11011000100000…
…100000101001000
31011122101010200010
4123010010011020
51412214100440
6113015511520
714152235166
oct3304040510
91148333603
10454050120
11213332637
121080885a0
13730b7314
1444434236
1529cdd580
hex1b104148

454050120 has 64 divisors (see below), whose sum is σ = 1363677120. Its totient is φ = 120944384.

The previous prime is 454050119. The next prime is 454050137. The reversal of 454050120 is 21050454.

It is a super-2 number, since 2×4540501202 = 412323022944028800, which contains 22 as substring.

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, 151759 + ... + 154721.

It is an arithmetic number, because the mean of its divisors is an integer number (21307455).

Almost surely, 2454050120 is an apocalyptic number.

454050120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454050120 is an abundant number, since it is smaller than the sum of its proper divisors (909627000).

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

454050120 is a wasteful number, since it uses less digits than its factorization.

454050120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 454050120 is about 21308.4518442800. The cubic root of 454050120 is about 768.6015658949.

The spelling of 454050120 in words is "four hundred fifty-four million, fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1277 2554 2963 3831 5108 5926 6385 7662 8889 10216 11852 12770 14815 15324 17778 19155 23704 25540 29630 30648 35556 38310 44445 51080 59260 71112 76620 88890 118520 153240 177780 355560 3783751 7567502 11351253 15135004 18918755 22702506 30270008 37837510 45405012 56756265 75675020 90810024 113512530 151350040 227025060 454050120