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11342000 = 245353107
BaseRepresentation
bin101011010001…
…000010110000
3210100020022002
4223101002300
510400421000
61043033132
7165256025
oct53210260
923306262
1011342000
11644745a
12396b7a8
132471657
14171354c
15ee08d5
hexad10b0

11342000 has 80 divisors (see below), whose sum is σ = 28203552. Its totient is φ = 4409600.

The previous prime is 11341991. The next prime is 11342011. The reversal of 11342000 is 24311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 105947 + ... + 106053.

Almost surely, 211342000 is an apocalyptic number.

11342000 is a gapful number since it is divisible by the number (10) 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 11342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14101776).

11342000 is an abundant number, since it is smaller than the sum of its proper divisors (16861552).

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

11342000 is a wasteful number, since it uses less digits than its factorization.

11342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 11342000 is about 3367.7885919398. The cubic root of 11342000 is about 224.6793787280.

Adding to 11342000 its reverse (24311), we get a palindrome (11366311).

The spelling of 11342000 in words is "eleven million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 107 125 200 212 214 250 265 400 424 428 500 530 535 848 856 1000 1060 1070 1325 1712 2000 2120 2140 2650 2675 4240 4280 5300 5350 5671 6625 8560 10600 10700 11342 13250 13375 21200 21400 22684 26500 26750 28355 42800 45368 53000 53500 56710 90736 106000 107000 113420 141775 214000 226840 283550 453680 567100 708875 1134200 1417750 2268400 2835500 5671000 11342000