Search a number
-
+
20977900 = 22521961181
BaseRepresentation
bin101000000000…
…1100011101100
31110110210021021
41100001203230
520332243100
62025343524
7343211026
oct120014354
943423237
1020977900
1110929009
127037ba4
134466578
142b01016
151c95a1a
hex14018ec

20977900 has 72 divisors (see below), whose sum is σ = 48972560. Its totient is φ = 7776000.

The previous prime is 20977889. The next prime is 20977951. The reversal of 20977900 is 977902.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115810 + ... + 115990.

Almost surely, 220977900 is an apocalyptic number.

20977900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20977900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24486280).

20977900 is an abundant number, since it is smaller than the sum of its proper divisors (27994660).

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

20977900 is a wasteful number, since it uses less digits than its factorization.

20977900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 34.

The square root of 20977900 is about 4580.1637525311. The cubic root of 20977900 is about 275.7956023596.

The spelling of 20977900 in words is "twenty million, nine hundred seventy-seven thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 61 76 95 100 122 181 190 244 305 362 380 475 610 724 905 950 1159 1220 1525 1810 1900 2318 3050 3439 3620 4525 4636 5795 6100 6878 9050 11041 11590 13756 17195 18100 22082 23180 28975 34390 44164 55205 57950 68780 85975 110410 115900 171950 209779 220820 276025 343900 419558 552050 839116 1048895 1104100 2097790 4195580 5244475 10488950 20977900