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146385660 = 223510323687
BaseRepresentation
bin10001011100110…
…10101011111100
3101012110011101010
420232122223330
5244433320120
622305315220
73425154231
oct1056325374
9335404333
10146385660
11756a3793
1241035b10
1324434a45
1415627788
15ccb87e0
hex8b9aafc

146385660 has 48 divisors (see below), whose sum is σ = 413876736. Its totient is φ = 38655552.

The previous prime is 146385643. The next prime is 146385677. The reversal of 146385660 is 66583641.

It is an interprime number because it is at equal distance from previous prime (146385643) and next prime (146385677).

It is a super-2 number, since 2×1463856602 = 42857522907271200, which contains 22 as substring.

It is a congruent number.

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, 5664 + ... + 18023.

It is an arithmetic number, because the mean of its divisors is an integer number (8622432).

Almost surely, 2146385660 is an apocalyptic number.

146385660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146385660 is an abundant number, since it is smaller than the sum of its proper divisors (267491076).

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

146385660 is a wasteful number, since it uses less digits than its factorization.

146385660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23802 (or 23800 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 146385660 is about 12098.9941730708. The cubic root of 146385660 is about 527.0269757563.

The spelling of 146385660 in words is "one hundred forty-six million, three hundred eighty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 2060 3090 6180 23687 47374 71061 94748 118435 142122 236870 284244 355305 473740 710610 1421220 2439761 4879522 7319283 9759044 12198805 14638566 24397610 29277132 36596415 48795220 73192830 146385660