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1055106 = 23513167
BaseRepresentation
bin100000001100110000010
31222121100000
410001212002
5232230411
634340430
711653053
oct4014602
91877300
101055106
11660798
1242a716
132ac330
141d672a
1515c956
hex101982

1055106 has 48 divisors (see below), whose sum is σ = 2568384. Its totient is φ = 322704.

The previous prime is 1055083. The next prime is 1055113. The reversal of 1055106 is 6015501.

It is a super-2 number, since 2×10551062 = 2226497342472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6235 + ... + 6401.

It is an arithmetic number, because the mean of its divisors is an integer number (53508).

21055106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284192).

1055106 is an abundant number, since it is smaller than the sum of its proper divisors (1513278).

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

1055106 is a wasteful number, since it uses less digits than its factorization.

1055106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1055106 is about 1027.1835279053. The cubic root of 1055106 is about 101.8041223533.

It can be divided in two parts, 105 and 5106, that multiplied together give a triangular number (536130 = T1035).

The spelling of 1055106 in words is "one million, fifty-five thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 167 234 243 334 351 486 501 702 1002 1053 1503 2106 2171 3006 3159 4342 4509 6318 6513 9018 13026 13527 19539 27054 39078 40581 58617 81162 117234 175851 351702 527553 1055106