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21316400 = 2452723331
BaseRepresentation
bin101000101010…
…0001100110000
31111002222121022
41101110030300
520424111100
62040515012
7346120640
oct121241460
944088538
1021316400
111103a366
12717ba68
134554671
142b8c520
151d10e85
hex1454330

21316400 has 120 divisors (see below), whose sum is σ = 61257984. Its totient is φ = 6969600.

The previous prime is 21316397. The next prime is 21316417. The reversal of 21316400 is 461312.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64235 + ... + 64565.

Almost surely, 221316400 is an apocalyptic number.

21316400 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 21316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30628992).

21316400 is an abundant number, since it is smaller than the sum of its proper divisors (39941584).

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

21316400 is a wasteful number, since it uses less digits than its factorization.

21316400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 21316400 is about 4616.9687025147. The cubic root of 21316400 is about 277.2711095815.

Adding to 21316400 its reverse (461312), we get a palindrome (21777712).

It can be divided in two parts, 21316 and 400, that multiplied together give a square (8526400 = 29202).

The spelling of 21316400 in words is "twenty-one million, three hundred sixteen thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 46 50 56 70 80 92 100 112 115 140 161 175 184 200 230 280 322 331 350 368 400 460 560 575 644 662 700 805 920 1150 1288 1324 1400 1610 1655 1840 2300 2317 2576 2648 2800 3220 3310 4025 4600 4634 5296 6440 6620 7613 8050 8275 9200 9268 11585 12880 13240 15226 16100 16550 18536 23170 26480 30452 32200 33100 37072 38065 46340 53291 57925 60904 64400 66200 76130 92680 106582 115850 121808 132400 152260 185360 190325 213164 231700 266455 304520 380650 426328 463400 532910 609040 761300 852656 926800 1065820 1332275 1522600 2131640 2664550 3045200 4263280 5329100 10658200 21316400