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146466540 = 223251173973
BaseRepresentation
bin10001011101011…
…10011011101100
3101012121021022200
420232232123230
5244443412130
622311141500
73425642103
oct1056563354
9335537280
10146466540
1175749530
1241074890
13244627bc
141564903a
15ccd2760
hex8bae6ec

146466540 has 72 divisors (see below), whose sum is σ = 484677648. Its totient is φ = 35506560.

The previous prime is 146466533. The next prime is 146466547. The reversal of 146466540 is 45664641.

146466540 is a `hidden beast` number, since 1 + 4 + 646 + 6 + 5 + 4 + 0 = 666.

146466540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146466533) and next prime (146466547).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146466495 and 146466504.

It is not an unprimeable number, because it can be changed into a prime (146466547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35007 + ... + 38966.

It is an arithmetic number, because the mean of its divisors is an integer number (6731634).

Almost surely, 2146466540 is an apocalyptic number.

146466540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146466540 is an abundant number, since it is smaller than the sum of its proper divisors (338211108).

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

146466540 is a wasteful number, since it uses less digits than its factorization.

146466540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73999 (or 73994 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 146466540 is about 12102.3361381181. The cubic root of 146466540 is about 527.1240209946.

The spelling of 146466540 in words is "one hundred forty-six million, four hundred sixty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 73973 147946 221919 295892 369865 443838 665757 739730 813703 887676 1109595 1331514 1479460 1627406 2219190 2441109 2663028 3254812 3328785 4068515 4438380 4882218 6657570 7323327 8137030 9764436 12205545 13315140 14646654 16274060 24411090 29293308 36616635 48822180 73233270 146466540