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146255340 = 223571131657
BaseRepresentation
bin10001011011110…
…10110111101100
3101012012112121110
420231322313230
5244420132330
622302432020
73424102260
oct1055726754
9335175543
10146255340
1175614890
1240b92610
13243ba62a
14155d20a0
15cc8edb0
hex8b7adec

146255340 has 96 divisors (see below), whose sum is σ = 510580224. Its totient is φ = 30389760.

The previous prime is 146255327. The next prime is 146255357. The reversal of 146255340 is 43552641.

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 = 146255298 and 146255307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11209 + ... + 20448.

It is an arithmetic number, because the mean of its divisors is an integer number (5318544).

Almost surely, 2146255340 is an apocalyptic number.

146255340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146255340 is an abundant number, since it is smaller than the sum of its proper divisors (364324884).

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

146255340 is a wasteful number, since it uses less digits than its factorization.

146255340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31687 (or 31685 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 146255340 is about 12093.6074022601. The cubic root of 146255340 is about 526.8705338685.

The spelling of 146255340 in words is "one hundred forty-six million, two hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 31657 63314 94971 126628 158285 189942 221599 316570 348227 379884 443198 474855 633140 664797 696454 886396 949710 1044681 1107995 1329594 1392908 1741135 1899420 2089362 2215990 2437589 2659188 3323985 3482270 4178724 4431980 4875178 5223405 6647970 6964540 7312767 9750356 10446810 12187945 13295940 14625534 20893620 24375890 29251068 36563835 48751780 73127670 146255340