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6106240 = 27572947
BaseRepresentation
bin10111010010110010000000
3102111020012001
4113102302000
53030344430
6334513344
7102621310
oct27226200
912436161
106106240
1134a0788
122065854
13135a47a
14b4d440
158093ca
hex5d2c80

6106240 has 128 divisors (see below), whose sum is σ = 17625600. Its totient is φ = 1978368.

The previous prime is 6106223. The next prime is 6106241. The reversal of 6106240 is 426016.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (6106241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129897 + ... + 129943.

It is an arithmetic number, because the mean of its divisors is an integer number (137700).

Almost surely, 26106240 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 6106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812800).

6106240 is an abundant number, since it is smaller than the sum of its proper divisors (11519360).

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

6106240 is a wasteful number, since it uses less digits than its factorization.

6106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 6106240 is about 2471.0807352250. The cubic root of 6106240 is about 182.7782956194.

The spelling of 6106240 in words is "six million, one hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 47 56 58 64 70 80 94 112 116 128 140 145 160 188 203 224 232 235 280 290 320 329 376 406 448 464 470 560 580 640 658 752 812 896 928 940 1015 1120 1160 1316 1363 1504 1624 1645 1856 1880 2030 2240 2320 2632 2726 3008 3248 3290 3712 3760 4060 4480 4640 5264 5452 6016 6496 6580 6815 7520 8120 9280 9541 10528 10904 12992 13160 13630 15040 16240 18560 19082 21056 21808 25984 26320 27260 30080 32480 38164 42112 43616 47705 52640 54520 64960 76328 87232 95410 105280 109040 129920 152656 174464 190820 210560 218080 305312 381640 436160 610624 763280 872320 1221248 1526560 3053120 6106240