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146454140 = 2257337577
BaseRepresentation
bin10001011101010…
…11011001111100
3101012120122022102
420232223121330
5244443013030
622311004232
73425561000
oct1056533174
9335518272
10146454140
1175740188
1241069678
1324459c71
1415644700
15cccdc45
hex8bab67c

146454140 has 96 divisors (see below), whose sum is σ = 368995200. Its totient is φ = 48771072.

The previous prime is 146454131. The next prime is 146454151. The reversal of 146454140 is 41454641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253532 + ... + 254108.

It is an arithmetic number, because the mean of its divisors is an integer number (3843700).

Almost surely, 2146454140 is an apocalyptic number.

146454140 is a gapful number since it is divisible by the number (10) 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 146454140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184497600).

146454140 is an abundant number, since it is smaller than the sum of its proper divisors (222541060).

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

146454140 is a wasteful number, since it uses less digits than its factorization.

146454140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 146454140 is about 12101.8238294895. The cubic root of 146454140 is about 527.1091449637.

The spelling of 146454140 in words is "one hundred forty-six million, four hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 185 196 245 259 343 370 490 518 577 686 740 980 1036 1154 1295 1372 1715 1813 2308 2590 2885 3430 3626 4039 5180 5770 6860 7252 8078 9065 11540 12691 16156 18130 20195 21349 25382 28273 36260 40390 42698 50764 56546 63455 80780 85396 106745 113092 126910 141365 149443 197911 213490 253820 282730 298886 395822 426980 565460 597772 747215 791644 989555 1046101 1494430 1979110 2092202 2988860 3958220 4184404 5230505 7322707 10461010 14645414 20922020 29290828 36613535 73227070 146454140