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146105730 = 23258319559
BaseRepresentation
bin10001011010101…
…10010110000010
3101011220221101100
420231112112002
5244400340410
622255315230
73422610141
oct1055262602
9334827340
10146105730
1175522441
1240b1bb16
13243674c4
1415593758
15cc608c0
hex8b56582

146105730 has 48 divisors (see below), whose sum is σ = 384471360. Its totient is φ = 38490144.

The previous prime is 146105689. The next prime is 146105737. The reversal of 146105730 is 37501641.

146105730 is a `hidden beast` number, since 14 + 610 + 5 + 7 + 30 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 146105694 and 146105703.

It is not an unprimeable number, because it can be changed into a prime (146105737) 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, 2310 + ... + 17249.

It is an arithmetic number, because the mean of its divisors is an integer number (8009820).

Almost surely, 2146105730 is an apocalyptic number.

146105730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146105730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192235680).

146105730 is an abundant number, since it is smaller than the sum of its proper divisors (238365630).

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

146105730 is a wasteful number, since it uses less digits than its factorization.

146105730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19655 (or 19652 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 146105730 is about 12087.4203203165. The cubic root of 146105730 is about 526.6908207869.

The spelling of 146105730 in words is "one hundred forty-six million, one hundred five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 747 830 1245 1494 2490 3735 7470 19559 39118 58677 97795 117354 176031 195590 293385 352062 586770 880155 1623397 1760310 3246794 4870191 8116985 9740382 14610573 16233970 24350955 29221146 48701910 73052865 146105730