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6106376540 = 22511172576353
BaseRepresentation
bin1011010111111011…
…11110100101011100
3120202120020001212002
411223331332211130
5100001213022130
62445532501432
7304215226025
oct55375764534
916676201762
106106376540
112653988090
12122501a878
13764132a74
1441cdbdc4c
1525b14bb45
hex16bf7e95c

6106376540 has 96 divisors (see below), whose sum is σ = 14872019904. Its totient is φ = 2081423360.

The previous prime is 6106376539. The next prime is 6106376587. The reversal of 6106376540 is 456736016.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6106376494 and 6106376503.

It is a congruent number.

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, 958004 + ... + 964356.

It is an arithmetic number, because the mean of its divisors is an integer number (154916874).

Almost surely, 26106376540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6106376540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7436009952).

6106376540 is an abundant number, since it is smaller than the sum of its proper divisors (8765643364).

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

6106376540 is a wasteful number, since it uses less digits than its factorization.

6106376540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6647 (or 6645 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 6106376540 is about 78143.3077108974. The cubic root of 6106376540 is about 1827.7965796143.

The spelling of 6106376540 in words is "six billion, one hundred six million, three hundred seventy-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 257 340 374 514 748 935 1028 1285 1870 2570 2827 3740 4369 5140 5654 6353 8738 11308 12706 14135 17476 21845 25412 28270 31765 43690 48059 56540 63530 69883 87380 96118 108001 127060 139766 192236 216002 240295 279532 349415 432004 480590 540005 698830 961180 1080010 1188011 1397660 1632721 2160020 2376022 3265442 4752044 5940055 6530884 8163605 11880110 16327210 17959931 23760220 27756257 32654420 35919862 55512514 71839724 89799655 111025028 138781285 179599310 277562570 305318827 359198620 555125140 610637654 1221275308 1526594135 3053188270 6106376540