Search a number
-
+
103580982680 = 2357715210311
BaseRepresentation
bin110000001110111101…
…0000101110110011000
3100220100201220002222212
41200131322011312120
53144113212421210
6115330123534252
710324555553150
oct1403572056630
9326321802885
10103580982680
113aa2384541a
12180a908a388
1399c96917c6
14502889d760
152a637e1805
hex181de85d98

103580982680 has 64 divisors (see below), whose sum is σ = 270102574080. Its totient is φ = 35013283200.

The previous prime is 103580982611. The next prime is 103580982689. The reversal of 103580982680 is 86289085301.

It is a super-3 number, since 3×1035809826803 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103580982689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2585276 + ... + 2625035.

It is an arithmetic number, because the mean of its divisors is an integer number (4220352720).

Almost surely, 2103580982680 is an apocalyptic number.

103580982680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103580982680 is an abundant number, since it is smaller than the sum of its proper divisors (166521591400).

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

103580982680 is a wasteful number, since it uses less digits than its factorization.

103580982680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5210400 (or 5210396 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 50.

The spelling of 103580982680 in words is "one hundred three billion, five hundred eighty million, nine hundred eighty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 71 140 142 280 284 355 497 568 710 994 1420 1988 2485 2840 3976 4970 9940 19880 5210311 10420622 20841244 26051555 36472177 41682488 52103110 72944354 104206220 145888708 182360885 208412440 291777416 364721770 369932081 729443540 739864162 1458887080 1479728324 1849660405 2589524567 2959456648 3699320810 5179049134 7398641620 10358098268 12947622835 14797283240 20716196536 25895245670 51790491340 103580982680