Search a number
-
+
20996700 = 223521723179
BaseRepresentation
bin101000000011…
…0001001011100
31110111202001120
41100012021130
520333343300
62030010540
7343316604
oct120061134
943452046
1020996700
111094114a
127046a50
134471caa
142b07c04
151c9b3a0
hex140625c

20996700 has 144 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 5012480.

The previous prime is 20996687. The next prime is 20996713. The reversal of 20996700 is 769902.

It is an interprime number because it is at equal distance from previous prime (20996687) and next prime (20996713).

It is a super-2 number, since 2×209967002 = 881722821780000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117211 + ... + 117389.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 220996700 is an apocalyptic number.

20996700 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 20996700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

20996700 is an abundant number, since it is smaller than the sum of its proper divisors (46498980).

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

20996700 is a wasteful number, since it uses less digits than its factorization.

20996700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 20996700 is about 4582.2156212906. The cubic root of 20996700 is about 275.8779653735.

The spelling of 20996700 in words is "twenty million, nine hundred ninety-six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 25 30 34 46 50 51 60 68 69 75 85 92 100 102 115 138 150 170 179 204 230 255 276 300 340 345 358 391 425 460 510 537 575 690 716 782 850 895 1020 1074 1150 1173 1275 1380 1564 1700 1725 1790 1955 2148 2300 2346 2550 2685 3043 3450 3580 3910 4117 4475 4692 5100 5370 5865 6086 6900 7820 8234 8950 9129 9775 10740 11730 12172 12351 13425 15215 16468 17900 18258 19550 20585 23460 24702 26850 29325 30430 36516 39100 41170 45645 49404 53700 58650 60860 61755 69989 76075 82340 91290 102925 117300 123510 139978 152150 182580 205850 209967 228225 247020 279956 304300 308775 349945 411700 419934 456450 617550 699890 839868 912900 1049835 1235100 1399780 1749725 2099670 3499450 4199340 5249175 6998900 10498350 20996700