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20986770 = 235737273
BaseRepresentation
bin101000000001…
…1101110010010
31110111020102210
41100003232102
520333034040
62025452550
7343245630
oct120035622
943436383
1020986770
1110934742
127041156
13446a60c
142b04350
151c98480
hex1403b92

20986770 has 96 divisors (see below), whose sum is σ = 59971968. Its totient is φ = 4603392.

The previous prime is 20986747. The next prime is 20986817. The reversal of 20986770 is 7768902.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287454 + ... + 287526.

It is an arithmetic number, because the mean of its divisors is an integer number (624708).

Almost surely, 220986770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20986770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29985984).

20986770 is an abundant number, since it is smaller than the sum of its proper divisors (38985198).

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

20986770 is a wasteful number, since it uses less digits than its factorization.

20986770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 20986770 is about 4581.1319561872. The cubic root of 20986770 is about 275.8344680593.

The spelling of 20986770 in words is "twenty million, nine hundred eighty-six thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 73 74 105 111 146 185 210 219 222 259 365 370 438 511 518 555 730 777 1022 1095 1110 1295 1369 1533 1554 2190 2555 2590 2701 2738 3066 3885 4107 5110 5402 6845 7665 7770 8103 8214 9583 13505 13690 15330 16206 18907 19166 20535 27010 28749 37814 40515 41070 47915 56721 57498 81030 94535 95830 99937 113442 143745 189070 199874 283605 287490 299811 499685 567210 599622 699559 999370 1399118 1499055 2098677 2998110 3497795 4197354 6995590 10493385 20986770