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994920640 = 2657541821
BaseRepresentation
bin111011010011010…
…100100011000000
32120100010012112121
4323103110203000
54014144430030
6242420334024
733440454160
oct7323244300
92510105477
10994920640
1147067466a
12239244314
1312b17c24c
14961c85a0
155c52b47a
hex3b4d48c0

994920640 has 112 divisors (see below), whose sum is σ = 2715914304. Its totient is φ = 340070400.

The previous prime is 994920629. The next prime is 994920643. The reversal of 994920640 is 46029499.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (994920643) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1211430 + ... + 1212250.

Almost surely, 2994920640 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 994920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357957152).

994920640 is an abundant number, since it is smaller than the sum of its proper divisors (1720993664).

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

994920640 is a wasteful number, since it uses less digits than its factorization.

994920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 994920640 is about 31542.3626255232. The cubic root of 994920640 is about 998.3040052279.

The spelling of 994920640 in words is "nine hundred ninety-four million, nine hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 541 560 821 1082 1120 1642 2164 2240 2705 3284 3787 4105 4328 5410 5747 6568 7574 8210 8656 10820 11494 13136 15148 16420 17312 18935 21640 22988 26272 28735 30296 32840 34624 37870 43280 45976 52544 57470 60592 65680 75740 86560 91952 114940 121184 131360 151480 173120 183904 229880 242368 262720 302960 367808 444161 459760 605920 888322 919520 1211840 1776644 1839040 2220805 3109127 3553288 4441610 6218254 7106576 8883220 12436508 14213152 15545635 17766440 24873016 28426304 31091270 35532880 49746032 62182540 71065760 99492064 124365080 142131520 198984128 248730160 497460320 994920640