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200107440 = 243251321379
BaseRepresentation
bin10111110110101…
…10010110110000
3111221112111210200
423323112112300
5402211414230
631504555200
74646612421
oct1373262660
9457474720
10200107440
11a2a56755
1257022b00
13325c4190
141c80d648
151287b160
hexbed65b0

200107440 has 120 divisors (see below), whose sum is σ = 723755760. Its totient is φ = 49254912.

The previous prime is 200107417. The next prime is 200107463. The reversal of 200107440 is 44701002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (200107417) and next prime (200107463).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1330 + ... + 20049.

It is an arithmetic number, because the mean of its divisors is an integer number (6031298).

Almost surely, 2200107440 is an apocalyptic number.

200107440 is a gapful number since it is divisible by the number (20) 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 200107440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361877880).

200107440 is an abundant number, since it is smaller than the sum of its proper divisors (523648320).

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

200107440 is a wasteful number, since it uses less digits than its factorization.

200107440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21411 (or 21402 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 200107440 is about 14145.9336913475. The cubic root of 200107440 is about 584.9082477184.

Adding to 200107440 its reverse (44701002), we get a palindrome (244808442).

The spelling of 200107440 in words is "two hundred million, one hundred seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 21379 42758 64137 85516 106895 128274 171032 192411 213790 256548 277927 320685 342064 384822 427580 513096 555854 641370 769644 833781 855160 962055 1026192 1111708 1282740 1389635 1539288 1667562 1710320 1924110 2223416 2501343 2565480 2779270 3078576 3335124 3848220 4168905 4446832 5002686 5130960 5558540 6670248 7696440 8337810 10005372 11117080 12506715 13340496 15392880 16675620 20010744 22234160 25013430 33351240 40021488 50026860 66702480 100053720 200107440