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20148417 = 32171929239
BaseRepresentation
bin100110011011…
…1000011000001
31101220122102200
41030313003001
520124222132
61555503413
7333154512
oct114670301
941818380
1020148417
1110411893
1268b7b69
134235b53
142966a09
151b7ed7c
hex13370c1

20148417 has 48 divisors (see below), whose sum is σ = 33696000. Its totient is φ = 11515392.

The previous prime is 20148413. The next prime is 20148431. The reversal of 20148417 is 71484102.

20148417 is a `hidden beast` number, since 201 + 48 + 417 = 666.

It is not a de Polignac number, because 20148417 - 22 = 20148413 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20148413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84184 + ... + 84422.

It is an arithmetic number, because the mean of its divisors is an integer number (702000).

Almost surely, 220148417 is an apocalyptic number.

It is an amenable number.

20148417 is a deficient number, since it is larger than the sum of its proper divisors (13547583).

20148417 is a wasteful number, since it uses less digits than its factorization.

20148417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 20148417 is about 4488.6988092319. The cubic root of 20148417 is about 272.1115504466. Note that the first 3 decimals are identical.

The spelling of 20148417 in words is "twenty million, one hundred forty-eight thousand, four hundred seventeen".

Divisors: 1 3 9 17 19 29 51 57 87 153 171 239 261 323 493 551 717 969 1479 1653 2151 2907 4063 4437 4541 4959 6931 9367 12189 13623 20793 28101 36567 40869 62379 77197 84303 117827 131689 231591 353481 395067 694773 1060443 1185201 2238713 6716139 20148417