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996989940 = 2232512894297
BaseRepresentation
bin111011011011001…
…101101111110100
32120111000100002100
4323123031233310
54020212134230
6242532542100
733464163132
oct7333155764
92514010070
10996989940
11471858331
12239a81930
1312b72509b
14965a6752
155c7d9660
hex3b6cdbf4

996989940 has 72 divisors (see below), whose sum is σ = 3027253320. Its totient is φ = 265595904.

The previous prime is 996989923. The next prime is 996989951. The reversal of 996989940 is 49989699.

It can be written as a sum of positive squares in 4 ways, for example, as 235561104 + 761428836 = 15348^2 + 27594^2 .

It is a super-3 number, since 3×9969899403 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229872 + ... + 234168.

It is an arithmetic number, because the mean of its divisors is an integer number (42045185).

Almost surely, 2996989940 is an apocalyptic number.

996989940 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

996989940 is an abundant number, since it is smaller than the sum of its proper divisors (2030263380).

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

996989940 is a wasteful number, since it uses less digits than its factorization.

996989940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 63.

The square root of 996989940 is about 31575.1475055937. The cubic root of 996989940 is about 998.9956382619.

The spelling of 996989940 in words is "nine hundred ninety-six million, nine hundred eighty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1289 2578 3867 4297 5156 6445 7734 8594 11601 12890 12891 15468 17188 19335 21485 23202 25780 25782 38670 38673 42970 46404 51564 58005 64455 77340 77346 85940 116010 128910 154692 193365 232020 257820 386730 773460 5538833 11077666 16616499 22155332 27694165 33232998 49849497 55388330 66465996 83082495 99698994 110776660 166164990 199397988 249247485 332329980 498494970 996989940