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990761984 = 2102323159
BaseRepresentation
bin111011000011011…
…101010000000000
32120001021220221022
4323003131100000
54012113340414
6242151245012
733360223622
oct7303352000
92501256838
10990761984
11469294163
12237979768
1312a3543c4
1495824c12
155bea918e
hex3b0dd400

990761984 has 132 divisors (see below), whose sum is σ = 2173422720. Its totient is φ = 450785280.

The previous prime is 990761983. The next prime is 990762001. The reversal of 990761984 is 489167099.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990761983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16792547 + ... + 16792605.

Almost surely, 2990761984 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 990761984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086711360).

990761984 is an abundant number, since it is smaller than the sum of its proper divisors (1182660736).

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

990761984 is a wasteful number, since it uses less digits than its factorization.

990761984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 53.

The square root of 990761984 is about 31476.3718366650. The cubic root of 990761984 is about 996.9111300395.

The spelling of 990761984 in words is "nine hundred ninety million, seven hundred sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 31 32 46 59 62 64 92 118 124 128 184 236 248 256 368 472 496 512 529 713 736 944 992 1024 1058 1357 1426 1472 1829 1888 1984 2116 2714 2852 2944 3658 3776 3968 4232 5428 5704 5888 7316 7552 7936 8464 10856 11408 11776 14632 15104 15872 16399 16928 21712 22816 23552 29264 30208 31211 31744 32798 33856 42067 43424 45632 58528 60416 62422 65596 67712 84134 86848 91264 117056 124844 131192 135424 168268 173696 182528 234112 249688 262384 270848 336536 347392 365056 468224 499376 524768 541696 673072 694784 730112 936448 967541 998752 1049536 1346144 1389568 1872896 1935082 1997504 2099072 2692288 3870164 3995008 4198144 5384576 7740328 7990016 8396288 10769152 15480656 15980032 16792576 21538304 30961312 31960064 43076608 61922624 123845248 247690496 495380992 990761984