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454282140 = 223513271631
BaseRepresentation
bin11011000100111…
…100101110011100
31011122210220221110
4123010330232130
51412244012030
6113024502020
714154222504
oct3304745634
91148726843
10454282140
11213480994
1210817a910
1373168b00
1444494a04
1529d371b0
hex1b13cb9c

454282140 has 144 divisors (see below), whose sum is σ = 1398974976. Its totient is φ = 110073600.

The previous prime is 454282121. The next prime is 454282151. The reversal of 454282140 is 41282454.

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

It is a junction number, because it is equal to n+sod(n) for n = 454282098 and 454282107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 719625 + ... + 720255.

It is an arithmetic number, because the mean of its divisors is an integer number (9715104).

Almost surely, 2454282140 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 454282140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699487488).

454282140 is an abundant number, since it is smaller than the sum of its proper divisors (944692836).

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

454282140 is a wasteful number, since it uses less digits than its factorization.

454282140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 454282140 is about 21313.8954675113. The cubic root of 454282140 is about 768.7324622875.

The spelling of 454282140 in words is "four hundred fifty-four million, two hundred eighty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 71 78 130 142 156 169 195 213 260 284 338 355 390 426 507 631 676 710 780 845 852 923 1014 1065 1262 1420 1690 1846 1893 2028 2130 2524 2535 2769 3155 3380 3692 3786 4260 4615 5070 5538 6310 7572 8203 9230 9465 10140 11076 11999 12620 13845 16406 18460 18930 23998 24609 27690 32812 35997 37860 41015 44801 47996 49218 55380 59995 71994 82030 89602 98436 106639 119990 123045 134403 143988 164060 179204 179985 213278 224005 239980 246090 268806 319917 359970 426556 448010 492180 533195 537612 582413 639834 672015 719940 896020 1066390 1164826 1279668 1344030 1599585 1747239 2132780 2329652 2688060 2912065 3199170 3494478 5824130 6398340 6988956 7571369 8736195 11648260 15142738 17472390 22714107 30285476 34944780 37856845 45428214 75713690 90856428 113570535 151427380 227141070 454282140