Search a number
-
+
991432620 = 2232579113617
BaseRepresentation
bin111011000110000…
…000111110101100
32120002112222212200
4323012000332230
54012301320440
6242213501500
733366016053
oct7306007654
92502488780
10991432620
11469702002
12238041890
1312a52a729
149595b39a
155c08cc30
hex3b180fac

991432620 has 144 divisors (see below), whose sum is σ = 3077343360. Its totient is φ = 258306048.

The previous prime is 991432619. The next prime is 991432627. The reversal of 991432620 is 26234199.

991432620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (991432627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1606552 + ... + 1607168.

It is an arithmetic number, because the mean of its divisors is an integer number (21370440).

Almost surely, 2991432620 is an apocalyptic number.

991432620 is a gapful number since it is divisible by the number (90) 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 991432620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538671680).

991432620 is an abundant number, since it is smaller than the sum of its proper divisors (2085910740).

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

991432620 is a wasteful number, since it uses less digits than its factorization.

991432620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 991432620 is about 31487.0230412467. The cubic root of 991432620 is about 997.1360120704.

The spelling of 991432620 in words is "nine hundred ninety-one million, four hundred thirty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 113 158 180 226 237 316 339 395 452 474 565 617 678 711 790 948 1017 1130 1185 1234 1356 1422 1580 1695 1851 2034 2260 2370 2468 2844 3085 3390 3555 3702 4068 4740 5085 5553 6170 6780 7110 7404 8927 9255 10170 11106 12340 14220 17854 18510 20340 22212 26781 27765 35708 37020 44635 48743 53562 55530 69721 80343 89270 97486 107124 111060 133905 139442 146229 160686 178540 194972 209163 243715 267810 278884 292458 321372 348605 401715 418326 438687 487430 535620 584916 627489 697210 731145 803430 836652 877374 974860 1045815 1254978 1394420 1462290 1606860 1754748 2091630 2193435 2509956 2924580 3137445 4183260 4386870 5507959 6274890 8773740 11015918 12549780 16523877 22031836 27539795 33047754 49571631 55079590 66095508 82619385 99143262 110159180 165238770 198286524 247858155 330477540 495716310 991432620