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146020272 = 2437194231
BaseRepresentation
bin10001011010000…
…01011110110000
3101011202121011020
420231001132300
5244340122042
622253415440
73422103036
oct1055013660
9334677136
10146020272
1175474212
1240a9a580
1324337638
1415570556
15cc453ec
hex8b417b0

146020272 has 40 divisors (see below), whose sum is σ = 377832960. Its totient is φ = 48594240.

The previous prime is 146020271. The next prime is 146020297. The reversal of 146020272 is 272020641.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (146020271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32397 + ... + 36627.

It is an arithmetic number, because the mean of its divisors is an integer number (9445824).

Almost surely, 2146020272 is an apocalyptic number.

146020272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146020272 is an abundant number, since it is smaller than the sum of its proper divisors (231812688).

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

146020272 is a wasteful number, since it uses less digits than its factorization.

146020272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4961 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 146020272 is about 12083.8848058065. The cubic root of 146020272 is about 526.5881126943.

The spelling of 146020272 in words is "one hundred forty-six million, twenty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 719 1438 2157 2876 4231 4314 5752 8462 8628 11504 12693 16924 17256 25386 33848 34512 50772 67696 101544 203088 3042089 6084178 9126267 12168356 18252534 24336712 36505068 48673424 73010136 146020272