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990315872 = 257213192557
BaseRepresentation
bin111011000001110…
…000010101100000
32120000110020222122
4323001300111200
54012010101442
6242133523412
733353355200
oct7301602540
92500406878
10990315872
11469009a77
122377a3568
1312a229330
149574a400
155be1bdd2
hex3b070560

990315872 has 144 divisors (see below), whose sum is σ = 2572017840. Its totient is φ = 371008512.

The previous prime is 990315857. The next prime is 990315947. The reversal of 990315872 is 278513099.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386018 + ... + 388574.

It is an arithmetic number, because the mean of its divisors is an integer number (17861235).

Almost surely, 2990315872 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 990315872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286008920).

990315872 is an abundant number, since it is smaller than the sum of its proper divisors (1581701968).

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

990315872 is a wasteful number, since it uses less digits than its factorization.

990315872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 44.

The square root of 990315872 is about 31469.2845803650. The cubic root of 990315872 is about 996.7614806476.

The spelling of 990315872 in words is "nine hundred ninety million, three hundred fifteen thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 49 52 56 76 91 98 104 112 133 152 182 196 208 224 247 266 304 364 392 416 494 532 608 637 728 784 931 988 1064 1274 1456 1568 1729 1862 1976 2128 2548 2557 2912 3458 3724 3952 4256 5096 5114 6916 7448 7904 10192 10228 12103 13832 14896 17899 20384 20456 24206 27664 29792 33241 35798 40912 48412 48583 55328 66482 71596 81824 96824 97166 125293 132964 143192 193648 194332 232687 250586 265928 286384 340081 387296 388664 465374 501172 531856 572768 631579 680162 777328 930748 1002344 1063712 1263158 1360324 1554656 1628809 1861496 2004688 2380567 2526316 2720648 3257618 3722992 4009376 4421053 4761134 5052632 5441296 6515236 7445984 8842106 9522268 10105264 10882592 13030472 17684212 19044536 20210528 26060944 30947371 35368424 38089072 52121888 61894742 70736848 76178144 123789484 141473696 247578968 495157936 990315872