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200026320 = 243513611051
BaseRepresentation
bin10111110110000…
…10100011010000
3111221101101112020
423323002203100
5402201320240
631503131440
74646124054
oct1373024320
9457341466
10200026320
11a2a0080a
1256ba3b80
1332596290
141c7cbc64
15128620d0
hexbec28d0

200026320 has 160 divisors (see below), whose sum is σ = 679373184. Its totient is φ = 48384000.

The previous prime is 200026283. The next prime is 200026327. The reversal of 200026320 is 23620002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200026320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200026327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189795 + ... + 190845.

Almost surely, 2200026320 is an apocalyptic number.

200026320 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 200026320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339686592).

200026320 is an abundant number, since it is smaller than the sum of its proper divisors (479346864).

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

200026320 is a wasteful number, since it uses less digits than its factorization.

200026320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 200026320 is about 14143.0661456418. The cubic root of 200026320 is about 584.8291998996.

Adding to 200026320 its reverse (23620002), we get a palindrome (223646322).

The spelling of 200026320 in words is "two hundred million, twenty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 61 65 78 80 104 120 122 130 156 183 195 208 240 244 260 305 312 366 390 488 520 610 624 732 780 793 915 976 1040 1051 1220 1464 1560 1586 1830 2102 2379 2440 2928 3120 3153 3172 3660 3965 4204 4758 4880 5255 6306 6344 7320 7930 8408 9516 10510 11895 12612 12688 13663 14640 15765 15860 16816 19032 21020 23790 25224 27326 31530 31720 38064 40989 42040 47580 50448 54652 63060 63440 64111 68315 81978 84080 95160 109304 126120 128222 136630 163956 190320 192333 204945 218608 252240 256444 273260 320555 327912 384666 409890 512888 546520 641110 655824 769332 819780 833443 961665 1025776 1093040 1282220 1538664 1639560 1666886 1923330 2500329 2564440 3077328 3279120 3333772 3846660 4167215 5000658 5128880 6667544 7693320 8334430 10001316 12501645 13335088 15386640 16668860 20002632 25003290 33337720 40005264 50006580 66675440 100013160 200026320