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8940132 = 223441673
BaseRepresentation
bin100010000110…
…101001100100
3121211012120000
4202012221210
54242041012
6515341300
7135663345
oct42065144
917735500
108940132
115056943
122bb1830
131b10326
14128a0cc
15bb8ddc
hex886a64

8940132 has 60 divisors (see below), whose sum is σ = 23976876. Its totient is φ = 2903040.

The previous prime is 8940131. The next prime is 8940143. The reversal of 8940132 is 2310498.

It can be written as a sum of positive squares in 2 ways, for example, as 1454436 + 7485696 = 1206^2 + 2736^2 .

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 = 8940096 and 8940105.

It is not an unprimeable number, because it can be changed into a prime (8940131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12948 + ... + 13620.

Almost surely, 28940132 is an apocalyptic number.

8940132 is a gapful number since it is divisible by the number (82) 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 8940132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11988438).

8940132 is an abundant number, since it is smaller than the sum of its proper divisors (15036744).

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

8940132 is a wasteful number, since it uses less digits than its factorization.

8940132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8940132 is about 2990.0053511658. The cubic root of 8940132 is about 207.5461319021.

The spelling of 8940132 in words is "eight million, nine hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 673 738 1107 1346 1476 2019 2214 2692 3321 4038 4428 6057 6642 8076 12114 13284 18171 24228 27593 36342 54513 55186 72684 82779 109026 110372 165558 218052 248337 331116 496674 745011 993348 1490022 2235033 2980044 4470066 8940132