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990891006 = 237313767307
BaseRepresentation
bin111011000011111…
…100101111111110
32120001112110220220
4323003330233332
54012132003011
6242154122210
733361302030
oct7303745776
92501473826
10990891006
11469372096
12237a20366
1312a39b051
1495859c50
155bed2506
hex3b0fcbfe

990891006 has 128 divisors (see below), whose sum is σ = 2444918784. Its totient is φ = 261740160.

The previous prime is 990890903. The next prime is 990891029. The reversal of 990891006 is 600198099.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3227505 + ... + 3227811.

It is an arithmetic number, because the mean of its divisors is an integer number (19100928).

Almost surely, 2990891006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990891006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222459392).

990891006 is an abundant number, since it is smaller than the sum of its proper divisors (1454027778).

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

990891006 is a wasteful number, since it uses less digits than its factorization.

990891006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454.

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 990891006 is about 31478.4212755341. The cubic root of 990891006 is about 996.9544024187.

The spelling of 990891006 in words is "nine hundred ninety million, eight hundred ninety-one thousand, six".

Divisors: 1 2 3 6 7 14 21 31 37 42 62 67 74 93 111 134 186 201 217 222 259 307 402 434 469 518 614 651 777 921 938 1147 1302 1407 1554 1842 2077 2149 2294 2479 2814 3441 4154 4298 4958 6231 6447 6882 7437 8029 9517 11359 12462 12894 14539 14874 16058 17353 19034 20569 22718 24087 28551 29078 34077 34706 41138 43617 48174 52059 57102 61707 66619 68154 76849 79513 87234 104118 123414 133238 143983 153698 159026 199857 230547 238539 287966 352129 399714 431949 461094 477078 537943 637639 704258 761053 863898 1056387 1075886 1275278 1522106 1613829 1912917 2112774 2283159 2464903 3227658 3825834 4463473 4566318 4929806 5327371 7394709 8926946 10654742 13390419 14789418 15982113 23592643 26780838 31964226 47185286 70777929 141555858 165148501 330297002 495445503 990891006