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11677020 = 22351910243
BaseRepresentation
bin101100100010…
…110101011100
3210222020212020
4230202311130
510442131040
61054140140
7201152535
oct54426534
923866766
1011677020
116656133
123ab1650
13255aca4
14179d68c
151059cd0
hexb22d5c

11677020 has 48 divisors (see below), whose sum is σ = 34419840. Its totient is φ = 2949696.

The previous prime is 11677019. The next prime is 11677027. The reversal of 11677020 is 2077611.

11677020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11677027) 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, 3982 + ... + 6261.

It is an arithmetic number, because the mean of its divisors is an integer number (717080).

Almost surely, 211677020 is an apocalyptic number.

11677020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11677020 is an abundant number, since it is smaller than the sum of its proper divisors (22742820).

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

11677020 is a wasteful number, since it uses less digits than its factorization.

11677020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10274 (or 10272 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 11677020 is about 3417.1654920416. The cubic root of 11677020 is about 226.8701412038.

The spelling of 11677020 in words is "eleven million, six hundred seventy-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 10243 20486 30729 40972 51215 61458 102430 122916 153645 194617 204860 307290 389234 583851 614580 778468 973085 1167702 1946170 2335404 2919255 3892340 5838510 11677020