Search a number
-
+
41406000 = 2435367103
BaseRepresentation
bin1001110111110…
…0111000110000
32212220122100120
42131330320300
541044443000
64035250240
71011642126
oct235747060
985818316
1041406000
1121410a39
1211a49980
1387697bc
1456db916
15397d6a0
hex277ce30

41406000 has 160 divisors (see below), whose sum is σ = 136800768. Its totient is φ = 10771200.

The previous prime is 41405989. The next prime is 41406019. The reversal of 41406000 is 60414.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401949 + ... + 402051.

Almost surely, 241406000 is an apocalyptic number.

41406000 is a gapful number since it is divisible by the number (40) 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 41406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68400384).

41406000 is an abundant number, since it is smaller than the sum of its proper divisors (95394768).

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

41406000 is a wasteful number, since it uses less digits than its factorization.

41406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 41406000 is about 6434.7494123703. The cubic root of 41406000 is about 345.9561796443.

Adding to 41406000 its reverse (60414), we get a palindrome (41466414).

The spelling of 41406000 in words is "forty-one million, four hundred six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 67 75 80 100 103 120 125 134 150 200 201 206 240 250 268 300 309 335 375 400 402 412 500 515 536 600 618 670 750 804 824 1000 1005 1030 1072 1200 1236 1340 1500 1545 1608 1648 1675 2000 2010 2060 2472 2575 2680 3000 3090 3216 3350 4020 4120 4944 5025 5150 5360 6000 6180 6700 6901 7725 8040 8240 8375 10050 10300 12360 12875 13400 13802 15450 16080 16750 20100 20600 20703 24720 25125 25750 26800 27604 30900 33500 34505 38625 40200 41200 41406 50250 51500 55208 61800 67000 69010 77250 80400 82812 100500 103000 103515 110416 123600 134000 138020 154500 165624 172525 201000 206000 207030 276040 309000 331248 345050 402000 414060 517575 552080 618000 690100 828120 862625 1035150 1380200 1656240 1725250 2070300 2587875 2760400 3450500 4140600 5175750 6901000 8281200 10351500 13802000 20703000 41406000