Search a number
-
+
10420028192 = 2572317911299
BaseRepresentation
bin10011011010001010…
…10000001100100000
3222220012010021111002
421231011100030200
5132320011400232
64441545211132
7516134530640
oct115505201440
928805107432
1010420028192
11446791a452
122029790aa8
13ca0a21c72
1470bc5c520
1540ebcab62
hex26d150320

10420028192 has 96 divisors (see below), whose sum is σ = 24603264000. Its totient is φ = 4247324928.

The previous prime is 10420028149. The next prime is 10420028239. The reversal of 10420028192 is 29182002401.

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, 916559 + ... + 927857.

It is an arithmetic number, because the mean of its divisors is an integer number (256284000).

Almost surely, 210420028192 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 10420028192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12301632000).

10420028192 is an abundant number, since it is smaller than the sum of its proper divisors (14183235808).

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

10420028192 is a wasteful number, since it uses less digits than its factorization.

10420028192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11518 (or 11510 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 10420028192 in words is "ten billion, four hundred twenty million, twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 179 184 224 322 358 368 644 716 736 1253 1288 1432 2506 2576 2864 4117 5012 5152 5728 8234 10024 11299 16468 20048 22598 28819 32936 40096 45196 57638 65872 79093 90392 115276 131744 158186 180784 230552 259877 316372 361568 461104 519754 632744 922208 1039508 1265488 1819139 2022521 2079016 2530976 3638278 4045042 4158032 7276556 8090084 8316064 14157647 14553112 16180168 28315294 29106224 32360336 46517983 56630588 58212448 64720672 93035966 113261176 186071932 226522352 325625881 372143864 453044704 651251762 744287728 1302503524 1488575456 2605007048 5210014096 10420028192