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146633130 = 23257232751
BaseRepresentation
bin10001011110101…
…11000110101010
3101012220201211200
420233113012222
5300014230010
622314505030
73430234560
oct1057270652
9335821750
10146633130
1175852706
1241135176
13244c0587
141568da30
15cd16cc0
hex8bd71aa

146633130 has 48 divisors (see below), whose sum is σ = 435711744. Its totient is φ = 33516000.

The previous prime is 146633099. The next prime is 146633153. The reversal of 146633130 is 31336641.

146633130 is a `hidden beast` number, since 14 + 6 + 633 + 13 + 0 = 666.

146633130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146633094 and 146633103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115746 + ... + 117005.

It is an arithmetic number, because the mean of its divisors is an integer number (9077328).

Almost surely, 2146633130 is an apocalyptic number.

146633130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146633130 is an abundant number, since it is smaller than the sum of its proper divisors (289078614).

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

146633130 is a wasteful number, since it uses less digits than its factorization.

146633130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232771 (or 232768 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 146633130 is about 12109.2167376755. The cubic root of 146633130 is about 527.3237943099.

Adding to 146633130 its reverse (31336641), we get a palindrome (177969771).

It can be divided in two parts, 1466 and 33130, that added together give a square (34596 = 1862).

The spelling of 146633130 in words is "one hundred forty-six million, six hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 232751 465502 698253 1163755 1396506 1629257 2094759 2327510 3258514 3491265 4189518 4887771 6982530 8146285 9775542 10473795 14663313 16292570 20947590 24438855 29326626 48877710 73316565 146633130