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6201200040 = 2335720113671
BaseRepresentation
bin1011100011001111…
…01100110110101000
3121000011122121020120
411301213230312220
5100200001400130
62503201123240
7306446221260
oct56147546650
917004577216
106201200040
1126a2463412
121250929520
1377a983349
1442b8247a0
1526462c910
hex1719ecda8

6201200040 has 128 divisors (see below), whose sum is σ = 21277624320. Its totient is φ = 1416326400.

The previous prime is 6201200003. The next prime is 6201200053. The reversal of 6201200040 is 400021026.

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

It is a junction number, because it is equal to n+sod(n) for n = 6201199992 and 6201200019.

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, 1687405 + ... + 1691075.

It is an arithmetic number, because the mean of its divisors is an integer number (166231440).

Almost surely, 26201200040 is an apocalyptic number.

6201200040 is a gapful number since it is divisible by the number (60) 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 6201200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10638812160).

6201200040 is an abundant number, since it is smaller than the sum of its proper divisors (15076424280).

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

6201200040 is a wasteful number, since it uses less digits than its factorization.

6201200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5703 (or 5699 counting only the distinct ones).

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

The square root of 6201200040 is about 78747.6986330394. The cubic root of 6201200040 is about 1837.2090682897.

Adding to 6201200040 its reverse (400021026), we get a palindrome (6601221066).

The spelling of 6201200040 in words is "six billion, two hundred one million, two hundred thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2011 3671 4022 6033 7342 8044 10055 11013 12066 14077 14684 16088 18355 20110 22026 24132 25697 28154 29368 30165 36710 40220 42231 44052 48264 51394 55065 56308 60330 70385 73420 77091 80440 84462 88104 102788 110130 112616 120660 128485 140770 146840 154182 168924 205576 211155 220260 241320 256970 281540 308364 337848 385455 422310 440520 513940 563080 616728 770910 844620 1027880 1541820 1689240 3083640 7382381 14764762 22147143 29529524 36911905 44294286 51676667 59059048 73823810 88588572 103353334 110735715 147647620 155030001 177177144 206706668 221471430 258383335 295295240 310060002 413413336 442942860 516766670 620120004 775150005 885885720 1033533340 1240240008 1550300010 2067066680 3100600020 6201200040