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9830974240 = 255537315881
BaseRepresentation
bin10010010011111100…
…01100001100100000
3221101010201020101001
421021332030030200
5130113212133430
64303303521344
7465422621323
oct111176141440
927333636331
109830974240
1141953684aa
121aa4459254
13c08989729
146939247ba
153c81213ca
hex249f8c320

9830974240 has 96 divisors (see below), whose sum is σ = 23989570416. Its totient is φ = 3805102080.

The previous prime is 9830974211. The next prime is 9830974261. The reversal of 9830974240 is 424790389.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8027443216 + 1803531024 = 89596^2 + 42468^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611100 + ... + 626980.

Almost surely, 29830974240 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 9830974240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11994785208).

9830974240 is an abundant number, since it is smaller than the sum of its proper divisors (14158596176).

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

9830974240 is a wasteful number, since it uses less digits than its factorization.

9830974240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16022 (or 16014 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 9830974240 is about 99151.2694825437. The cubic root of 9830974240 is about 2142.2271511671.

The spelling of 9830974240 in words is "nine billion, eight hundred thirty million, nine hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 73 80 106 146 160 212 265 292 365 424 530 584 730 848 1060 1168 1460 1696 2120 2336 2920 3869 4240 5840 7738 8480 11680 15476 15881 19345 30952 31762 38690 61904 63524 77380 79405 123808 127048 154760 158810 254096 309520 317620 508192 619040 635240 841693 1159313 1270480 1683386 2318626 2540960 3366772 4208465 4637252 5796565 6733544 8416930 9274504 11593130 13467088 16833860 18549008 23186260 26934176 33667720 37098016 46372520 61443589 67335440 92745040 122887178 134670880 185490080 245774356 307217945 491548712 614435890 983097424 1228871780 1966194848 2457743560 4915487120 9830974240