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5994880 = 275171929
BaseRepresentation
bin10110110111100110000000
3102021120102121
4112313212000
53013314010
6332254024
7101645533
oct26674600
912246377
105994880
113425051
122011314
13131b888
14b20a1a
157d63da
hex5b7980

5994880 has 128 divisors (see below), whose sum is σ = 16524000. Its totient is φ = 2064384.

The previous prime is 5994871. The next prime is 5994887. The reversal of 5994880 is 884995.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5994887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206706 + ... + 206734.

Almost surely, 25994880 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 5994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8262000).

5994880 is an abundant number, since it is smaller than the sum of its proper divisors (10529120).

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

5994880 is a wasteful number, since it uses less digits than its factorization.

5994880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 5994880 is about 2448.4444041064. Note that the first 4 decimals coincide. The cubic root of 5994880 is about 181.6603575884.

The spelling of 5994880 in words is "five million, nine hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 19 20 29 32 34 38 40 58 64 68 76 80 85 95 116 128 136 145 152 160 170 190 232 272 290 304 320 323 340 380 464 493 544 551 580 608 640 646 680 760 928 986 1088 1102 1160 1216 1292 1360 1520 1615 1856 1972 2176 2204 2320 2432 2465 2584 2720 2755 3040 3230 3712 3944 4408 4640 4930 5168 5440 5510 6080 6460 7888 8816 9280 9367 9860 10336 10880 11020 12160 12920 15776 17632 18560 18734 19720 20672 22040 25840 31552 35264 37468 39440 41344 44080 46835 51680 63104 70528 74936 78880 88160 93670 103360 149872 157760 176320 187340 206720 299744 315520 352640 374680 599488 749360 1198976 1498720 2997440 5994880