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41030400 = 283522137
BaseRepresentation
bin1001110010000…
…1001100000000
32212012120010110
42130201030000
541000433100
64023231320
71005516105
oct234411400
985176113
1041030400
1121184824
12118a8540
138667858
145640aac
153907250
hex2721300

41030400 has 108 divisors (see below), whose sum is σ = 135472232. Its totient is φ = 10936320.

The previous prime is 41030387. The next prime is 41030411. The reversal of 41030400 is 403014.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18132 + ... + 20268.

Almost surely, 241030400 is an apocalyptic number.

41030400 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 41030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67736116).

41030400 is an abundant number, since it is smaller than the sum of its proper divisors (94441832).

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

41030400 is a wasteful number, since it uses less digits than its factorization.

41030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 41030400 is about 6405.4976387475. The cubic root of 41030400 is about 344.9069272144.

Adding to 41030400 its reverse (403014), we get a palindrome (41433414).

The spelling of 41030400 in words is "forty-one million, thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 600 640 768 800 960 1200 1280 1600 1920 2137 2400 3200 3840 4274 4800 6400 6411 8548 9600 10685 12822 17096 19200 21370 25644 32055 34192 42740 51288 53425 64110 68384 85480 102576 106850 128220 136768 160275 170960 205152 213700 256440 273536 320550 341920 410304 427400 512880 547072 641100 683840 820608 854800 1025760 1282200 1367680 1641216 1709600 2051520 2564400 2735360 3419200 4103040 5128800 6838400 8206080 10257600 13676800 20515200 41030400