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5906720 = 255192967
BaseRepresentation
bin10110100010000100100000
3102010002111102
4112202010200
53003003340
6330333532
7101130521
oct26420440
912102442
105906720
113374896
121b8a2a8
1312ba701
14ada848
157ba215
hex5a2120

5906720 has 96 divisors (see below), whose sum is σ = 15422400. Its totient is φ = 2128896.

The previous prime is 5906713. The next prime is 5906723. The reversal of 5906720 is 276095.

It is a super-3 number, since 3×59067203 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (5906723) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 88127 + ... + 88193.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 25906720 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 5906720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711200).

5906720 is an abundant number, since it is smaller than the sum of its proper divisors (9515680).

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

5906720 is a wasteful number, since it uses less digits than its factorization.

5906720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 5906720 is about 2430.3744567453. The cubic root of 5906720 is about 180.7654644663.

The spelling of 5906720 in words is "five million, nine hundred six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 67 76 80 95 116 134 145 152 160 190 232 268 290 304 335 380 464 536 551 580 608 670 760 928 1072 1102 1160 1273 1340 1520 1943 2144 2204 2320 2546 2680 2755 3040 3886 4408 4640 5092 5360 5510 6365 7772 8816 9715 10184 10720 11020 12730 15544 17632 19430 20368 22040 25460 31088 36917 38860 40736 44080 50920 62176 73834 77720 88160 101840 147668 155440 184585 203680 295336 310880 369170 590672 738340 1181344 1476680 2953360 5906720