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6113280 = 21135199
BaseRepresentation
bin10111010100100000000000
3102111120211210
4113110200000
53031111110
6335010120
7102650655
oct27244000
912446753
106113280
1134a5aa8
122069940
131360734
14b51c2c
1580b520
hex5d4800

6113280 has 96 divisors (see below), whose sum is σ = 19656000. Its totient is φ = 1622016.

The previous prime is 6113279. The next prime is 6113297. The reversal of 6113280 is 823116.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30621 + ... + 30819.

It is an arithmetic number, because the mean of its divisors is an integer number (204750).

Almost surely, 26113280 is an apocalyptic number.

6113280 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 6113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9828000).

6113280 is an abundant number, since it is smaller than the sum of its proper divisors (13542720).

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

6113280 is a wasteful number, since it uses less digits than its factorization.

6113280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 6113280 is about 2472.5048028265. The cubic root of 6113280 is about 182.8485114973.

Adding to 6113280 its reverse (823116), we get a palindrome (6936396).

The spelling of 6113280 in words is "six million, one hundred thirteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 199 240 256 320 384 398 480 512 597 640 768 796 960 995 1024 1194 1280 1536 1592 1920 1990 2048 2388 2560 2985 3072 3184 3840 3980 4776 5120 5970 6144 6368 7680 7960 9552 10240 11940 12736 15360 15920 19104 23880 25472 30720 31840 38208 47760 50944 63680 76416 95520 101888 127360 152832 191040 203776 254720 305664 382080 407552 509440 611328 764160 1018880 1222656 1528320 2037760 3056640 6113280