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5961440 = 255193753
BaseRepresentation
bin10110101111011011100000
3102012212120002
4112233123200
53011231230
6331435132
7101446202
oct26573340
912185502
105961440
113401a11
121bb5aa8
1313095a4
14b12772
157cb545
hex5af6e0

5961440 has 96 divisors (see below), whose sum is σ = 15513120. Its totient is φ = 2156544.

The previous prime is 5961437. The next prime is 5961457. The reversal of 5961440 is 441695.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112454 + ... + 112506.

It is an arithmetic number, because the mean of its divisors is an integer number (161595).

Almost surely, 25961440 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 5961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756560).

5961440 is an abundant number, since it is smaller than the sum of its proper divisors (9551680).

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

5961440 is a wasteful number, since it uses less digits than its factorization.

5961440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 5961440 is about 2441.6060288261. The cubic root of 5961440 is about 181.3219547839.

The spelling of 5961440 in words is "five million, nine hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 37 38 40 53 74 76 80 95 106 148 152 160 185 190 212 265 296 304 370 380 424 530 592 608 703 740 760 848 1007 1060 1184 1406 1480 1520 1696 1961 2014 2120 2812 2960 3040 3515 3922 4028 4240 5035 5624 5920 7030 7844 8056 8480 9805 10070 11248 14060 15688 16112 19610 20140 22496 28120 31376 32224 37259 39220 40280 56240 62752 74518 78440 80560 112480 149036 156880 161120 186295 298072 313760 372590 596144 745180 1192288 1490360 2980720 5961440