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990807040 = 2105296673
BaseRepresentation
bin111011000011101…
…000010000000000
32120001101012202001
4323003220100000
54012121311130
6242152233344
733360502156
oct7303502000
92501335661
10990807040
11469314aa3
1223799b854
1312a36ba72
14958373d6
155beb76ca
hex3b0e8400

990807040 has 88 divisors (see below), whose sum is σ = 2459102040. Its totient is φ = 382599168.

The previous prime is 990807031. The next prime is 990807049. The reversal of 990807040 is 40708099.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (990807031) and next prime (990807049).

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 989479936 = 1152^2 + 31456^2 .

It is not an unprimeable number, because it can be changed into a prime (990807049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145144 + ... + 151816.

Almost surely, 2990807040 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 990807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229551020).

990807040 is an abundant number, since it is smaller than the sum of its proper divisors (1468295000).

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

990807040 is a wasteful number, since it uses less digits than its factorization.

990807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6727 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 990807040 is about 31477.0875399869. The cubic root of 990807040 is about 996.9262416901.

The spelling of 990807040 in words is "nine hundred ninety million, eight hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 512 580 640 928 1024 1160 1280 1856 2320 2560 3712 4640 5120 6673 7424 9280 13346 14848 18560 26692 29696 33365 37120 53384 66730 74240 106768 133460 148480 193517 213536 266920 387034 427072 533840 774068 854144 967585 1067680 1548136 1708288 1935170 2135360 3096272 3416576 3870340 4270720 6192544 6833152 7740680 8541440 12385088 15481360 17082880 24770176 30962720 34165760 49540352 61925440 99080704 123850880 198161408 247701760 495403520 990807040