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990465084 = 22357178563
BaseRepresentation
bin111011000010010…
…100110000111100
32120000201211200000
4323002110300330
54012024340314
6242141034300
733354546210
oct7302246074
92500654600
10990465084
11469101094
12237855990
1312a27c21b
1495788940
155be4b209
hex3b094c3c

990465084 has 144 divisors (see below), whose sum is σ = 3142234368. Its totient is φ = 266312448.

The previous prime is 990465083. The next prime is 990465103. The reversal of 990465084 is 480564099.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990465083) 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, 111387 + ... + 119949.

It is an arithmetic number, because the mean of its divisors is an integer number (21821072).

Almost surely, 2990465084 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 990465084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571117184).

990465084 is an abundant number, since it is smaller than the sum of its proper divisors (2151769284).

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

990465084 is a wasteful number, since it uses less digits than its factorization.

990465084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8606 (or 8592 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 990465084 is about 31471.6552472221. The cubic root of 990465084 is about 996.8115391893.

The spelling of 990465084 in words is "nine hundred ninety million, four hundred sixty-five thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 243 252 306 324 357 378 459 476 486 567 612 714 756 918 972 1071 1134 1377 1428 1701 1836 2142 2268 2754 3213 3402 4131 4284 5508 6426 6804 8262 8563 9639 12852 16524 17126 19278 25689 28917 34252 38556 51378 57834 59941 77067 102756 115668 119882 145571 154134 179823 231201 239764 291142 308268 359646 436713 462402 539469 582284 693603 719292 873426 924804 1018997 1078938 1310139 1387206 1618407 1746852 2037994 2080809 2157876 2620278 2774412 3056991 3236814 3930417 4075988 4161618 4855221 5240556 6113982 6473628 7860834 8323236 9170973 9710442 11791251 12227964 14565663 15721668 18341946 19420884 23582502 27512919 29131326 35373753 36683892 47165004 55025838 58262652 70747506 82538757 110051676 141495012 165077514 247616271 330155028 495232542 990465084