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41067390 = 2357313307
BaseRepresentation
bin1001110010101…
…0001101111110
32212021102212110
42130222031332
541003124030
64024114450
71006032000
oct234521576
985242773
1041067390
11211aa5a1
1211905a26
13867b640
145650370
1539131b0
hex272a37e

41067390 has 128 divisors (see below), whose sum is σ = 124185600. Its totient is φ = 8636544.

The previous prime is 41067347. The next prime is 41067409. The reversal of 41067390 is 9376014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133617 + ... + 133923.

It is an arithmetic number, because the mean of its divisors is an integer number (970200).

Almost surely, 241067390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41067390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62092800).

41067390 is an abundant number, since it is smaller than the sum of its proper divisors (83118210).

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

41067390 is a wasteful number, since it uses less digits than its factorization.

41067390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 41067390 is about 6408.3843517692. The cubic root of 41067390 is about 345.0105436811.

The spelling of 41067390 in words is "forty-one million, sixty-seven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 182 195 210 245 273 294 307 343 390 455 490 546 614 637 686 735 910 921 1029 1274 1365 1470 1535 1715 1842 1911 2058 2149 2730 3070 3185 3430 3822 3991 4298 4459 4605 5145 6370 6447 7982 8918 9210 9555 10290 10745 11973 12894 13377 15043 19110 19955 21490 22295 23946 26754 27937 30086 32235 39910 44590 45129 55874 59865 64470 66885 75215 83811 90258 105301 119730 133770 139685 150430 167622 195559 210602 225645 279370 315903 391118 419055 451290 526505 586677 631806 838110 977795 1053010 1173354 1368913 1579515 1955590 2737826 2933385 3159030 4106739 5866770 6844565 8213478 13689130 20533695 41067390