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990170082 = 23611107577
BaseRepresentation
bin111011000001001…
…100101111100010
32120000011212000000
4323001030233202
54011440420312
6242130440430
733352210146
oct7301145742
92500155000
10990170082
11468a1a490
12237733116
1312a1a7b75
149570d226
155bdddadc
hex3b04cbe2

990170082 has 112 divisors (see below), whose sum is σ = 2456259552. Its totient is φ = 296732160.

The previous prime is 990170053. The next prime is 990170089. The reversal of 990170082 is 280071099.

It is a happy number.

990170082 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (990170089) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1715778 + ... + 1716354.

Almost surely, 2990170082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990170082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228129776).

990170082 is an abundant number, since it is smaller than the sum of its proper divisors (1466089470).

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

990170082 is a wasteful number, since it uses less digits than its factorization.

990170082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 990170082 is about 31466.9681094318. The cubic root of 990170082 is about 996.7125652823.

The spelling of 990170082 in words is "nine hundred ninety million, one hundred seventy thousand, eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 107 162 198 214 243 297 321 486 577 594 642 729 891 963 1154 1177 1458 1731 1782 1926 2354 2673 2889 3462 3531 5193 5346 5778 6347 7062 8019 8667 10386 10593 12694 15579 16038 17334 19041 21186 26001 31158 31779 38082 46737 52002 57123 61739 63558 78003 93474 95337 114246 123478 140211 156006 171369 185217 190674 280422 286011 342738 370434 420633 514107 555651 572022 679129 841266 858033 1028214 1111302 1358258 1542321 1666953 1716066 2037387 3084642 3333906 4074774 4626963 5000859 6112161 9253926 10001718 12224322 15002577 18336483 30005154 36672966 45007731 55009449 90015462 110018898 165028347 330056694 495085041 990170082