Search a number
-
+
991323040 = 255172811297
BaseRepresentation
bin111011000101100…
…110001110100000
32120002100102120011
4323011212032200
54012234314130
6242211254304
733365051431
oct7305461640
92502312504
10991323040
11469637744
12237baa394
1312a4bc8a6
149592d488
155c06a52a
hex3b1663a0

991323040 has 96 divisors (see below), whose sum is σ = 2490508944. Its totient is φ = 371589120.

The previous prime is 991323031. The next prime is 991323049. The reversal of 991323040 is 40323199.

It is an interprime number because it is at equal distance from previous prime (991323031) and next prime (991323049).

It can be written as a sum of positive squares in 8 ways, for example, as 928786576 + 62536464 = 30476^2 + 7908^2 .

It is a junction number, because it is equal to n+sod(n) for n = 991322993 and 991323011.

It is not an unprimeable number, because it can be changed into a prime (991323049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763672 + ... + 764968.

Almost surely, 2991323040 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 991323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245254472).

991323040 is an abundant number, since it is smaller than the sum of its proper divisors (1499185904).

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

991323040 is a wasteful number, since it uses less digits than its factorization.

991323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 991323040 is about 31485.2829112270. The cubic root of 991323040 is about 997.0992739240.

The spelling of 991323040 in words is "nine hundred ninety-one million, three hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 281 340 544 562 680 1124 1297 1360 1405 2248 2594 2720 2810 4496 4777 5188 5620 6485 8992 9554 10376 11240 12970 19108 20752 22049 22480 23885 25940 38216 41504 44098 44960 47770 51880 76432 88196 95540 103760 110245 152864 176392 191080 207520 220490 352784 364457 382160 440980 705568 728914 764320 881960 1457828 1763920 1822285 2915656 3527840 3644570 5831312 6195769 7289140 11662624 12391538 14578280 24783076 29156560 30978845 49566152 58313120 61957690 99132304 123915380 198264608 247830760 495661520 991323040