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20368380 = 223517191051
BaseRepresentation
bin100110110110…
…0101111111100
31102022211011110
41031230233330
520203242010
62004322020
7335062014
oct115545774
942284143
1020368380
111055207a
1269a3310
1342b1cc6
1429c2c44
151bc5120
hex136cbfc

20368380 has 96 divisors (see below), whose sum is σ = 63624960. Its totient is φ = 4838400.

The previous prime is 20368373. The next prime is 20368417. The reversal of 20368380 is 8386302.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 18855 + ... + 19905.

It is an arithmetic number, because the mean of its divisors is an integer number (662760).

Almost surely, 220368380 is an apocalyptic number.

20368380 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 20368380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31812480).

20368380 is an abundant number, since it is smaller than the sum of its proper divisors (43256580).

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

20368380 is a wasteful number, since it uses less digits than its factorization.

20368380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 20368380 is about 4513.1341659649. The cubic root of 20368380 is about 273.0981948953.

The spelling of 20368380 in words is "twenty million, three hundred sixty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 380 510 570 646 969 1020 1051 1140 1292 1615 1938 2102 3153 3230 3876 4204 4845 5255 6306 6460 9690 10510 12612 15765 17867 19380 19969 21020 31530 35734 39938 53601 59907 63060 71468 79876 89335 99845 107202 119814 178670 199690 214404 239628 268005 299535 339473 357340 399380 536010 599070 678946 1018419 1072020 1198140 1357892 1697365 2036838 3394730 4073676 5092095 6789460 10184190 20368380