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20398700 = 22527223181
BaseRepresentation
bin100110111010…
…0001001101100
31102101100202102
41031310021230
520210224300
62005114232
7335246300
oct115641154
942340672
1020398700
1110572933
1269b8978
1342c2a4a
1429cdd00
151bce0d5
hex137426c

20398700 has 108 divisors (see below), whose sum is σ = 54027792. Its totient is φ = 6652800.

The previous prime is 20398699. The next prime is 20398709. The reversal of 20398700 is 789302.

It is a super-2 number, since 2×203987002 = 832213923380000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20398709) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112610 + ... + 112790.

Almost surely, 220398700 is an apocalyptic number.

20398700 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 20398700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27013896).

20398700 is an abundant number, since it is smaller than the sum of its proper divisors (33629092).

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

20398700 is a wasteful number, since it uses less digits than its factorization.

20398700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 20398700 is about 4516.4920015428. The cubic root of 20398700 is about 273.2336373804.

The spelling of 20398700 in words is "twenty million, three hundred ninety-eight thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 49 50 70 92 98 100 115 140 161 175 181 196 230 245 322 350 362 460 490 575 644 700 724 805 905 980 1127 1150 1225 1267 1610 1810 2254 2300 2450 2534 3220 3620 4025 4163 4508 4525 4900 5068 5635 6335 8050 8326 8869 9050 11270 12670 16100 16652 17738 18100 20815 22540 25340 28175 29141 31675 35476 41630 44345 56350 58282 63350 83260 88690 104075 112700 116564 126700 145705 177380 203987 208150 221725 291410 407974 416300 443450 582820 728525 815948 886900 1019935 1457050 2039870 2914100 4079740 5099675 10199350 20398700