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20878872 = 23371931211
BaseRepresentation
bin100111110100…
…1011000011000
31110021202102120
41033221120120
520321110442
62023301240
7342316230
oct117513030
943252376
1020878872
1110870673
126baa820
134430481
142ab6cc0
151c764ec
hex13e9618

20878872 has 128 divisors (see below), whose sum is σ = 65126400. Its totient is φ = 5443200.

The previous prime is 20878849. The next prime is 20878877. The reversal of 20878872 is 27887802.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20878877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98847 + ... + 99057.

It is an arithmetic number, because the mean of its divisors is an integer number (508800).

Almost surely, 220878872 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 20878872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32563200).

20878872 is an abundant number, since it is smaller than the sum of its proper divisors (44247528).

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

20878872 is a wasteful number, since it uses less digits than its factorization.

20878872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 20878872 is about 4569.3404338044. The cubic root of 20878872 is about 275.3609453255.

The spelling of 20878872 in words is "twenty million, eight hundred seventy-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 31 38 42 56 57 62 76 84 93 114 124 133 152 168 186 211 217 228 248 266 372 399 422 434 456 532 589 633 651 744 798 844 868 1064 1178 1266 1302 1477 1596 1688 1736 1767 2356 2532 2604 2954 3192 3534 4009 4123 4431 4712 5064 5208 5908 6541 7068 8018 8246 8862 11816 12027 12369 13082 14136 16036 16492 17724 19623 24054 24738 26164 28063 32072 32984 35448 39246 45787 48108 49476 52328 56126 78492 84189 91574 96216 98952 112252 124279 137361 156984 168378 183148 224504 248558 274722 336756 366296 372837 497116 549444 673512 745674 869953 994232 1098888 1491348 1739906 2609859 2982696 3479812 5219718 6959624 10439436 20878872