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269742 = 23116167
BaseRepresentation
bin1000001110110101110
3111201000110
41001312232
532112432
65440450
72202264
oct1016656
9451013
10269742
11174730
12110126
1395a15
1470434
1554dcc
hex41dae

269742 has 32 divisors (see below), whose sum is σ = 607104. Its totient is φ = 79200.

The previous prime is 269741. The next prime is 269749. The reversal of 269742 is 247962.

269742 = T88 + T89 + ... + T131.

It is a happy number.

It is a d-powerful number, because it can be written as 217 + 6 + 7 + 94 + 45 + 217 .

Its product of digits (6048) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (269741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3993 + ... + 4059.

It is an arithmetic number, because the mean of its divisors is an integer number (18972).

2269742 is an apocalyptic number.

269742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 269742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303552).

269742 is an abundant number, since it is smaller than the sum of its proper divisors (337362).

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

269742 is a wasteful number, since it uses less digits than its factorization.

269742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144.

The product of its digits is 6048, while the sum is 30.

The square root of 269742 is about 519.3669223199. The cubic root of 269742 is about 64.6124473198.

The spelling of 269742 in words is "two hundred sixty-nine thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 33 61 66 67 122 134 183 201 366 402 671 737 1342 1474 2013 2211 4026 4087 4422 8174 12261 24522 44957 89914 134871 269742