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146464100 = 22521464641
BaseRepresentation
bin10001011101011…
…01110101100100
3101012121010222022
420232231311210
5244443322400
622311122312
73425632016
oct1056556544
9335533868
10146464100
1175747712
1241073398
1324461663
14156481b6
15ccd1b85
hex8badd64

146464100 has 18 divisors (see below), whose sum is σ = 317827314. Its totient is φ = 58585600.

The previous prime is 146464099. The next prime is 146464121. The reversal of 146464100 is 1464641.

It can be written as a sum of positive squares in 3 ways, for example, as 32444416 + 114019684 = 5696^2 + 10678^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 146464100.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 732221 + ... + 732420.

It is an arithmetic number, because the mean of its divisors is an integer number (17657073).

Almost surely, 2146464100 is an apocalyptic number.

146464100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146464100 is an abundant number, since it is smaller than the sum of its proper divisors (171363214).

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

146464100 is a wasteful number, since it uses less digits than its factorization.

146464100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464655 (or 1464648 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 146464100 is about 12102.2353307147. The cubic root of 146464100 is about 527.1210938419.

Multiplying 146464100 by its reverse (1464641), we get a square (214517325888100 = 146464102).

146464100 divided by its reverse (1464641) gives a square (100 = 102).

The spelling of 146464100 in words is "one hundred forty-six million, four hundred sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1464641 2929282 5858564 7323205 14646410 29292820 36616025 73232050 146464100