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146266680 = 233573141137
BaseRepresentation
bin10001011011111…
…01101000111000
3101012020010011110
420231331220320
5244421013210
622303000320
73424150320
oct1055755070
9335203143
10146266680
117562235a
1240b990a0
13243c2841
14155d6280
15cc93420
hex8b7da38

146266680 has 256 divisors, whose sum is σ = 534159360. Its totient is φ = 31334400.

The previous prime is 146266663. The next prime is 146266699. The reversal of 146266680 is 86662641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1067572 + ... + 1067708.

It is an arithmetic number, because the mean of its divisors is an integer number (2086560).

Almost surely, 2146266680 is an apocalyptic number.

146266680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146266680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267079680).

146266680 is an abundant number, since it is smaller than the sum of its proper divisors (387892680).

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

146266680 is a wasteful number, since it uses less digits than its factorization.

146266680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 146266680 is about 12094.0762359099. The cubic root of 146266680 is about 526.8841505962.

The spelling of 146266680 in words is "one hundred forty-six million, two hundred sixty-six thousand, six hundred eighty".