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146118540 = 223523105883
BaseRepresentation
bin10001011010110…
…01011110001100
3101011221120221210
420231121132030
5244401243130
622255454420
73422662401
oct1055313614
9334846853
10146118540
1175531027
1240b27410
1324370299
14155982a8
15cc645b0
hex8b5978c

146118540 has 48 divisors (see below), whose sum is σ = 426924288. Its totient is φ = 37270464.

The previous prime is 146118529. The next prime is 146118571. The reversal of 146118540 is 45811641.

146118540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 146118498 and 146118507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51562 + ... + 54321.

It is an arithmetic number, because the mean of its divisors is an integer number (8894256).

Almost surely, 2146118540 is an apocalyptic number.

146118540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146118540 is an abundant number, since it is smaller than the sum of its proper divisors (280805748).

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

146118540 is a wasteful number, since it uses less digits than its factorization.

146118540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105918 (or 105916 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 146118540 is about 12087.9501984414. The cubic root of 146118540 is about 526.7062130927.

The spelling of 146118540 in words is "one hundred forty-six million, one hundred eighteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 105883 211766 317649 423532 529415 635298 1058830 1270596 1588245 2117660 2435309 3176490 4870618 6352980 7305927 9741236 12176545 14611854 24353090 29223708 36529635 48706180 73059270 146118540