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20341248 = 293171941
BaseRepresentation
bin100110110011…
…0001000000000
31102021102221120
41031212020000
520201404443
62003552240
7334616634
oct115461000
942242846
1020341248
1110533754
12698b680
1342a2855
1429b6dc4
151bbc083
hex1366200

20341248 has 160 divisors (see below), whose sum is σ = 61871040. Its totient is φ = 5898240.

The previous prime is 20341247. The next prime is 20341261. The reversal of 20341248 is 84214302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20341247) 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, 496108 + ... + 496148.

It is an arithmetic number, because the mean of its divisors is an integer number (386694).

Almost surely, 220341248 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 20341248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30935520).

20341248 is an abundant number, since it is smaller than the sum of its proper divisors (41529792).

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

20341248 is a wasteful number, since it uses less digits than its factorization.

20341248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 20341248 is about 4510.1272709315. The cubic root of 20341248 is about 272.9768795243.

The spelling of 20341248 in words is "twenty million, three hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 41 48 51 57 64 68 76 82 96 102 114 123 128 136 152 164 192 204 228 246 256 272 304 323 328 384 408 456 492 512 544 608 646 656 697 768 779 816 912 969 984 1088 1216 1292 1312 1394 1536 1558 1632 1824 1938 1968 2091 2176 2337 2432 2584 2624 2788 3116 3264 3648 3876 3936 4182 4352 4674 4864 5168 5248 5576 6232 6528 7296 7752 7872 8364 8704 9348 9728 10336 10496 11152 12464 13056 13243 14592 15504 15744 16728 18696 20672 20992 22304 24928 26112 26486 29184 31008 31488 33456 37392 39729 41344 44608 49856 52972 62016 62976 66912 74784 79458 82688 89216 99712 105944 124032 133824 149568 158916 165376 178432 199424 211888 248064 267648 299136 317832 356864 398848 423776 496128 535296 598272 635664 847552 1070592 1196544 1271328 1695104 2542656 3390208 5085312 6780416 10170624 20341248