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11278020 = 22351319761
BaseRepresentation
bin101011000001…
…011011000100
3210012222112110
4223001123010
510341344040
61041421020
7164601345
oct53013304
923188473
1011278020
116403386
12393a770
13244b4b0
1416d80cc
15ecb980
hexac16c4

11278020 has 96 divisors (see below), whose sum is σ = 35844480. Its totient is φ = 2626560.

The previous prime is 11278019. The next prime is 11278037. The reversal of 11278020 is 2087211.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14440 + ... + 15200.

It is an arithmetic number, because the mean of its divisors is an integer number (373380).

Almost surely, 211278020 is an apocalyptic number.

11278020 is a gapful number since it is divisible by the number (10) 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 11278020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922240).

11278020 is an abundant number, since it is smaller than the sum of its proper divisors (24566460).

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

11278020 is a wasteful number, since it uses less digits than its factorization.

11278020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 11278020 is about 3358.2763436025. The cubic root of 11278020 is about 224.2561111869.

The spelling of 11278020 in words is "eleven million, two hundred seventy-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 761 780 988 1140 1235 1482 1522 2283 2470 2964 3044 3705 3805 4566 4940 7410 7610 9132 9893 11415 14459 14820 15220 19786 22830 28918 29679 39572 43377 45660 49465 57836 59358 72295 86754 98930 118716 144590 148395 173508 187967 197860 216885 289180 296790 375934 433770 563901 593580 751868 867540 939835 1127802 1879670 2255604 2819505 3759340 5639010 11278020