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6000422640 = 243540961129
BaseRepresentation
bin1011001011010011…
…10010111011110000
3120111011212001102120
411211221302323300
544242102011030
62431225514240
7301460515362
oct54551627360
916434761376
106000422640
1125aa09a383
1211b5642980
137481b6254
1440ccbcd32
15251bbd010
hex165a72ef0

6000422640 has 80 divisors (see below), whose sum is σ = 18647095200. Its totient is φ = 1596174336.

The previous prime is 6000422627. The next prime is 6000422653. The reversal of 6000422640 is 462240006.

It is an interprime number because it is at equal distance from previous prime (6000422627) and next prime (6000422653).

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 6000422640.

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, 67596 + ... + 128724.

It is an arithmetic number, because the mean of its divisors is an integer number (233088690).

Almost surely, 26000422640 is an apocalyptic number.

6000422640 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 6000422640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9323547600).

6000422640 is an abundant number, since it is smaller than the sum of its proper divisors (12646672560).

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

6000422640 is a wasteful number, since it uses less digits than its factorization.

6000422640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61554 (or 61548 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 6000422640 is about 77462.3950055767. The cubic root of 6000422640 is about 1817.1632578219.

Adding to 6000422640 its reverse (462240006), we get a palindrome (6462662646).

The spelling of 6000422640 in words is "six billion, four hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 409 818 1227 1636 2045 2454 3272 4090 4908 6135 6544 8180 9816 12270 16360 19632 24540 32720 49080 61129 98160 122258 183387 244516 305645 366774 489032 611290 733548 916935 978064 1222580 1467096 1833870 2445160 2934192 3667740 4890320 7335480 14670960 25001761 50003522 75005283 100007044 125008805 150010566 200014088 250017610 300021132 375026415 400028176 500035220 600042264 750052830 1000070440 1200084528 1500105660 2000140880 3000211320 6000422640