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1042632 = 23341609
BaseRepresentation
bin11111110100011001000
31221222020000
43332203020
5231331012
634203000
711601513
oct3764310
91858200
101042632
11652388
12423460
132a6756
141d1d7a
15158ddc
hexfe8c8

1042632 has 40 divisors (see below), whose sum is σ = 2922150. Its totient is φ = 347328.

The previous prime is 1042631. The next prime is 1042633. The reversal of 1042632 is 2362401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1042631) and next prime (1042633).

It can be written as a sum of positive squares in only one way, i.e., 599076 + 443556 = 774^2 + 666^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1042631) 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 9 ways as a sum of consecutive naturals, for example, 157 + ... + 1452.

21042632 is an apocalyptic number.

1042632 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 1042632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461075).

1042632 is an abundant number, since it is smaller than the sum of its proper divisors (1879518).

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

1042632 is a wasteful number, since it uses less digits than its factorization.

1042632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1042632 is about 1021.0935314652. The cubic root of 1042632 is about 101.4013374705.

The spelling of 1042632 in words is "one million, forty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1609 3218 4827 6436 9654 12872 14481 19308 28962 38616 43443 57924 86886 115848 130329 173772 260658 347544 521316 1042632