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996929700 = 22352131072389
BaseRepresentation
bin111011011010111…
…111000010100100
32120110220021110020
4323122333002210
54020203222300
6242531355140
733463522404
oct7332770244
92513807406
10996929700
11471817048
12239a52ab0
1312b703840
149658c804
155c7c68a0
hex3b6bf0a4

996929700 has 144 divisors (see below), whose sum is σ = 3136674240. Its totient is φ = 243002880.

The previous prime is 996929699. The next prime is 996929707. The reversal of 996929700 is 7929699.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (996929707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416106 + ... + 418494.

It is an arithmetic number, because the mean of its divisors is an integer number (21782460).

Almost surely, 2996929700 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 996929700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568337120).

996929700 is an abundant number, since it is smaller than the sum of its proper divisors (2139744540).

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

996929700 is a wasteful number, since it uses less digits than its factorization.

996929700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 51.

The square root of 996929700 is about 31574.1935764003. The cubic root of 996929700 is about 998.9755174606.

The spelling of 996929700 in words is "nine hundred ninety-six million, nine hundred twenty-nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 107 130 150 156 195 214 260 300 321 325 390 428 535 642 650 780 975 1070 1284 1300 1391 1605 1950 2140 2389 2675 2782 3210 3900 4173 4778 5350 5564 6420 6955 7167 8025 8346 9556 10700 11945 13910 14334 16050 16692 20865 23890 27820 28668 31057 32100 34775 35835 41730 47780 59725 62114 69550 71670 83460 93171 104325 119450 124228 139100 143340 155285 179175 186342 208650 238900 255623 310570 358350 372684 417300 465855 511246 621140 716700 766869 776425 931710 1022492 1278115 1533738 1552850 1863420 2329275 2556230 3067476 3105700 3323099 3834345 4658550 5112460 6390575 6646198 7668690 9317100 9969297 12781150 13292396 15337380 16615495 19171725 19938594 25562300 33230990 38343450 39877188 49846485 66461980 76686900 83077475 99692970 166154950 199385940 249232425 332309900 498464850 996929700