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146054040 = 233511110647
BaseRepresentation
bin10001011010010…
…01101110011000
3101011211022110220
420231021232120
5244342212130
622254240040
73422303346
oct1055115630
9334738426
10146054040
1175497620
1240ab6020
1324349b12
141557c996
15cc50410
hex8b49b98

146054040 has 64 divisors (see below), whose sum is σ = 477999360. Its totient is φ = 35406720.

The previous prime is 146054033. The next prime is 146054047. The reversal of 146054040 is 40450641.

It is an interprime number because it is at equal distance from previous prime (146054033) and next prime (146054047).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 146054040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146054047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54004 + ... + 56643.

It is an arithmetic number, because the mean of its divisors is an integer number (7468740).

Almost surely, 2146054040 is an apocalyptic number.

146054040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146054040 is an abundant number, since it is smaller than the sum of its proper divisors (331945320).

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

146054040 is a wasteful number, since it uses less digits than its factorization.

146054040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110672 (or 110668 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 146054040 is about 12085.2819578196. The cubic root of 146054040 is about 526.6287017089.

The spelling of 146054040 in words is "one hundred forty-six million, fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 110647 221294 331941 442588 553235 663882 885176 1106470 1217117 1327764 1659705 2212940 2434234 2655528 3319410 3651351 4425880 4868468 6085585 6638820 7302702 9736936 12171170 13277640 14605404 18256755 24342340 29210808 36513510 48684680 73027020 146054040