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990975636 = 2232731472699
BaseRepresentation
bin111011000100010…
…001011010010100
32120001200210000100
4323010101122110
54012142210021
6242200014100
733362103540
oct7304213224
92501623010
10990975636
1146941a732
12237a61330
1312a3ca721
149587ca20
155beec626
hex3b111694

990975636 has 144 divisors (see below), whose sum is σ = 3019161600. Its totient is φ = 268073280.

The previous prime is 990975593. The next prime is 990975649. The reversal of 990975636 is 636579099.

It is a super-2 number, since 2×9909756362 = 1964065422291208992, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 365815 + ... + 368513.

It is an arithmetic number, because the mean of its divisors is an integer number (20966400).

Almost surely, 2990975636 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 990975636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509580800).

990975636 is an abundant number, since it is smaller than the sum of its proper divisors (2028185964).

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

990975636 is a wasteful number, since it uses less digits than its factorization.

990975636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The square root of 990975636 is about 31479.7655010326. The cubic root of 990975636 is about 996.9827842315.

The spelling of 990975636 in words is "nine hundred ninety million, nine hundred seventy-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 47 62 63 84 93 94 124 126 141 186 188 217 252 279 282 329 372 423 434 558 564 651 658 846 868 987 1116 1302 1316 1457 1692 1953 1974 2604 2699 2914 2961 3906 3948 4371 5398 5828 5922 7812 8097 8742 10199 10796 11844 13113 16194 17484 18893 20398 24291 26226 30597 32388 37786 40796 48582 52452 56679 61194 75572 83669 91791 97164 113358 122388 126853 167338 170037 183582 226716 251007 253706 334676 340074 367164 380559 502014 507412 585683 680148 753021 761118 887971 1004028 1141677 1171366 1506042 1522236 1757049 1775942 2283354 2342732 2663913 3012084 3514098 3551884 3932443 4566708 5271147 5327826 7028196 7864886 7991739 10542294 10655652 11797329 15729772 15983478 21084588 23594658 27527101 31966956 35391987 47189316 55054202 70783974 82581303 110108404 141567948 165162606 247743909 330325212 495487818 990975636