Search a number
-
+
991400704 = 2874779149
BaseRepresentation
bin111011000101111…
…001001100000000
32120002111101002121
4323011321030000
54012244310304
6242213054024
733365524030
oct7305711400
92502441077
10991400704
11469690028
12238027314
1312a519048
149594d8c0
155c083554
hex3b179300

991400704 has 144 divisors (see below), whose sum is σ = 2354688000. Its totient is φ = 407826432.

The previous prime is 991400651. The next prime is 991400723. The reversal of 991400704 is 407004199.

It is a self number, because there is not a number n which added to its sum of digits gives 991400704.

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, 6653622 + ... + 6653770.

It is an arithmetic number, because the mean of its divisors is an integer number (16352000).

Almost surely, 2991400704 is an apocalyptic number.

991400704 is a gapful number since it is divisible by the number (94) 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 991400704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177344000).

991400704 is an abundant number, since it is smaller than the sum of its proper divisors (1363287296).

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

991400704 is a wasteful number, since it uses less digits than its factorization.

991400704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 991400704 is about 31486.5162252034. The cubic root of 991400704 is about 997.1253120881.

The spelling of 991400704 in words is "nine hundred ninety-one million, four hundred thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 79 94 112 128 149 158 188 224 256 298 316 329 376 448 553 596 632 658 752 896 1043 1106 1192 1264 1316 1504 1792 2086 2212 2384 2528 2632 3008 3713 4172 4424 4768 5056 5264 6016 7003 7426 8344 8848 9536 10112 10528 11771 12032 14006 14852 16688 17696 19072 20224 21056 23542 25991 28012 29704 33376 35392 38144 42112 47084 49021 51982 56024 59408 66752 70784 82397 84224 94168 98042 103964 112048 118816 133504 141568 164794 188336 196084 207928 224096 237632 267008 329588 376672 392168 415856 448192 475264 553237 659176 753344 784336 831712 896384 950528 1106474 1318352 1506688 1568672 1663424 1792768 2212948 2636704 3013376 3137344 3326848 3872659 4425896 5273408 6274688 6653696 7745318 8851792 10546816 12549376 15490636 17703584 21093632 30981272 35407168 61962544 70814336 123925088 141628672 247850176 495700352 991400704