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16905132 = 2233157997
BaseRepresentation
bin100000001111…
…1001110101100
31011210212111000
41000133032230
513311431012
61402200300
7263456046
oct100371654
934725430
1016905132
1195a7092
1257b3090
13366b84a
142360a96
15173dddc
hex101f3ac

16905132 has 48 divisors (see below), whose sum is σ = 44151520. Its totient is φ = 5593536.

The previous prime is 16905127. The next prime is 16905143. The reversal of 16905132 is 23150961.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 16905096 and 16905105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16458 + ... + 17454.

Almost surely, 216905132 is an apocalyptic number.

16905132 is a gapful number since it is divisible by the number (12) 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 16905132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22075760).

16905132 is an abundant number, since it is smaller than the sum of its proper divisors (27246388).

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

16905132 is a wasteful number, since it uses less digits than its factorization.

16905132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 16905132 is about 4111.5850957994. The cubic root of 16905132 is about 256.6489678769.

The spelling of 16905132 in words is "sixteen million, nine hundred five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 157 314 471 628 942 997 1413 1884 1994 2826 2991 3988 4239 5652 5982 8478 8973 11964 16956 17946 26919 35892 53838 107676 156529 313058 469587 626116 939174 1408761 1878348 2817522 4226283 5635044 8452566 16905132