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41090640 = 2435313547
BaseRepresentation
bin1001110010111…
…1111001010000
32212022121202120
42130233321100
541004400030
64024414240
71006156533
oct234577120
985277676
1041090640
1121216008
1211917380
1386890b6
145658a1a
15391a010
hex272fe50

41090640 has 80 divisors (see below), whose sum is σ = 128021568. Its totient is φ = 10902528.

The previous prime is 41090633. The next prime is 41090657. The reversal of 41090640 is 4609014.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41090640.

It is a congruent number.

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, 74847 + ... + 75393.

Almost surely, 241090640 is an apocalyptic number.

41090640 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 41090640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64010784).

41090640 is an abundant number, since it is smaller than the sum of its proper divisors (86930928).

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

41090640 is a wasteful number, since it uses less digits than its factorization.

41090640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 41090640 is about 6410.1981248632. The cubic root of 41090640 is about 345.0756397898.

Adding to 41090640 its reverse (4609014), we get a palindrome (45699654).

The spelling of 41090640 in words is "forty-one million, ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 313 547 626 939 1094 1252 1565 1641 1878 2188 2504 2735 3130 3282 3756 4376 4695 5008 5470 6260 6564 7512 8205 8752 9390 10940 12520 13128 15024 16410 18780 21880 25040 26256 32820 37560 43760 65640 75120 131280 171211 342422 513633 684844 856055 1027266 1369688 1712110 2054532 2568165 2739376 3424220 4109064 5136330 6848440 8218128 10272660 13696880 20545320 41090640