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146421627 = 311137139233
BaseRepresentation
bin10001011101000…
…11011101111011
3101012111222201020
420232203131323
5244440443002
622310153523
73425364132
oct1056433573
9335458636
10146421627
1175718810
12410528a3
1324448221
1415636919
15ccc42bc
hex8ba377b

146421627 has 32 divisors (see below), whose sum is σ = 217002240. Its totient is φ = 87083520.

The previous prime is 146421557. The next prime is 146421631. The reversal of 146421627 is 726124641.

It is not a de Polignac number, because 146421627 - 28 = 146421371 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (146421637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628303 + ... + 628535.

It is an arithmetic number, because the mean of its divisors is an integer number (6781320).

Almost surely, 2146421627 is an apocalyptic number.

146421627 is a deficient number, since it is larger than the sum of its proper divisors (70580613).

146421627 is a wasteful number, since it uses less digits than its factorization.

146421627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523.

The product of its digits is 16128, while the sum is 33.

The square root of 146421627 is about 12100.4804450071. The cubic root of 146421627 is about 527.0701357830.

The spelling of 146421627 in words is "one hundred forty-six million, four hundred twenty-one thousand, six hundred twenty-seven".

Divisors: 1 3 11 33 137 139 233 411 417 699 1507 1529 2563 4521 4587 7689 19043 31921 32387 57129 95763 97161 209473 351131 356257 628419 1053393 1068771 4437019 13311057 48807209 146421627