Search a number
-
+
974149540 = 2257135310099
BaseRepresentation
bin111010000100000…
…101011110100100
32111220000220221121
4322010011132210
53443340241130
6240355223324
733066064060
oct7204053644
92456026847
10974149540
1145a977a71
122322a7b44
13126a88b60
149353caa0
155a7c6d7a
hex3a1057a4

974149540 has 96 divisors (see below), whose sum is σ = 2565561600. Its totient is φ = 302455296.

The previous prime is 974149523. The next prime is 974149541. The reversal of 974149540 is 45941479.

It is not an unprimeable number, because it can be changed into a prime (974149541) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 91411 + ... + 101509.

It is an arithmetic number, because the mean of its divisors is an integer number (26724600).

Almost surely, 2974149540 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 974149540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282780800).

974149540 is an abundant number, since it is smaller than the sum of its proper divisors (1591412060).

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

974149540 is a wasteful number, since it uses less digits than its factorization.

974149540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10181 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 974149540 is about 31211.3687620393. The cubic root of 974149540 is about 991.3078453554.

The spelling of 974149540 in words is "nine hundred seventy-four million, one hundred forty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 53 65 70 91 106 130 140 182 212 260 265 364 371 455 530 689 742 910 1060 1378 1484 1820 1855 2756 3445 3710 4823 6890 7420 9646 10099 13780 19292 20198 24115 40396 48230 50495 70693 96460 100990 131287 141386 201980 262574 282772 353465 525148 535247 656435 706930 919009 1070494 1312870 1413860 1838018 2140988 2625740 2676235 3676036 3746729 4595045 5352470 6958211 7493458 9190090 10704940 13916422 14986916 18380180 18733645 27832844 34791055 37467290 48707477 69582110 74934580 97414954 139164220 194829908 243537385 487074770 974149540