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146923146 = 2351717783
BaseRepresentation
bin10001100000111…
…01111010001010
3101020110110200000
420300131322022
5300103020041
622325023430
73432553236
oct1060357212
9336413600
10146923146
1175a30597
1241254b76
1324592596
14157275c6
15cd72bb6
hex8c1de8a

146923146 has 48 divisors (see below), whose sum is σ = 349562304. Its totient is φ = 46090944.

The previous prime is 146923141. The next prime is 146923177. The reversal of 146923146 is 641329641.

It is a self number, because there is not a number n which added to its sum of digits gives 146923146.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146923141) 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 23 ways as a sum of consecutive naturals, for example, 630 + ... + 17153.

It is an arithmetic number, because the mean of its divisors is an integer number (7282548).

Almost surely, 2146923146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146923146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174781152).

146923146 is an abundant number, since it is smaller than the sum of its proper divisors (202639158).

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

146923146 is a wasteful number, since it uses less digits than its factorization.

146923146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17817 (or 17805 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 146923146 is about 12121.1858330776. The cubic root of 146923146 is about 527.6712183498.

The spelling of 146923146 in words is "one hundred forty-six million, nine hundred twenty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 918 1377 2754 4131 8262 17783 35566 53349 106698 160047 302311 320094 480141 604622 906933 960282 1440423 1813866 2720799 2880846 4321269 5441598 8162397 8642538 16324794 24487191 48974382 73461573 146923146