Search a number
-
+
280100006032 = 24711733114437
BaseRepresentation
bin1000001001101110100…
…00101110100010010000
3222202222122120120222111
410010313100232202100
514042121100143112
6332402015115104
726144065524250
oct4046720564220
9882878516874
10280100006032
11a88761732a0
1246350b12a94
132054b09a452
14d7b224d960
1574455e95a7
hex413742e890

280100006032 has 80 divisors (see below), whose sum is σ = 685873994112. Its totient is φ = 107634908160.

The previous prime is 280100006009. The next prime is 280100006033. The reversal of 280100006032 is 230600001082.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 280100005994 and 280100006012.

It is not an unprimeable number, because it can be changed into a prime (280100006033) 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, 1467283 + ... + 1647154.

Almost surely, 2280100006032 is an apocalyptic number.

280100006032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

280100006032 is an abundant number, since it is smaller than the sum of its proper divisors (405773988080).

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

280100006032 is a wasteful number, since it uses less digits than its factorization.

280100006032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114536 (or 3114530 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 280100006032 in words is "two hundred eighty billion, one hundred million, six thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 73 77 88 112 146 154 176 292 308 511 584 616 803 1022 1168 1232 1606 2044 3212 4088 5621 6424 8176 11242 12848 22484 44968 89936 3114437 6228874 12457748 21801059 24915496 34258807 43602118 49830992 68517614 87204236 137035228 174408472 227353901 239811649 274070456 348816944 454707802 479623298 548140912 909415604 959246596 1591477307 1818831208 1918493192 2500892911 3182954614 3637662416 3836986384 5001785822 6365909228 10003571644 12731818456 17506250377 20007143288 25463636912 35012500754 40014286576 70025001508 140050003016 280100006032