Search a number
-
+
977783020 = 2254310111257
BaseRepresentation
bin111010010001111…
…100100011101100
32112010212112010221
4322101330203230
54000303024040
6241005141124
733142006234
oct7221744354
92463775127
10977783020
11461a29945
1223355a7a4
1312775b946
1493c06cc4
155ac9374a
hex3a47c8ec

977783020 has 48 divisors (see below), whose sum is σ = 2122087968. Its totient is φ = 378201600.

The previous prime is 977783003. The next prime is 977783039. The reversal of 977783020 is 20387779.

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 81232 + ... + 92488.

It is an arithmetic number, because the mean of its divisors is an integer number (44210166).

Almost surely, 2977783020 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 977783020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061043984).

977783020 is an abundant number, since it is smaller than the sum of its proper divisors (1144304948).

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

977783020 is a wasteful number, since it uses less digits than its factorization.

977783020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11410 (or 11408 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 43.

The square root of 977783020 is about 31269.5222221255. The cubic root of 977783020 is about 992.5388090834.

The spelling of 977783020 in words is "nine hundred seventy-seven million, seven hundred eighty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 101 172 202 215 404 430 505 860 1010 2020 4343 8686 11257 17372 21715 22514 43430 45028 56285 86860 112570 225140 484051 968102 1136957 1936204 2273914 2420255 4547828 4840510 5684785 9681020 11369570 22739140 48889151 97778302 195556604 244445755 488891510 977783020