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210320040 = 233572271103
BaseRepresentation
bin11001000100100…
…11101010101000
3112122202100212010
430202103222220
5412320220130
632511515520
75132455650
oct1442235250
9478670763
10210320040
11a87a1617
125a528ba0
133475b738
141dd0b360
15136e70b0
hexc893aa8

210320040 has 128 divisors (see below), whose sum is σ = 724930560. Its totient is φ = 47817984.

The previous prime is 210320023. The next prime is 210320051. The reversal of 210320040 is 40023012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210319998 and 210320025.

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, 190129 + ... + 191231.

It is an arithmetic number, because the mean of its divisors is an integer number (5663520).

Almost surely, 2210320040 is an apocalyptic number.

210320040 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 210320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362465280).

210320040 is an abundant number, since it is smaller than the sum of its proper divisors (514610520).

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

210320040 is a wasteful number, since it uses less digits than its factorization.

210320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 210320040 is about 14502.4149713074. The cubic root of 210320040 is about 594.6939932500.

Adding to 210320040 its reverse (40023012), we get a palindrome (250343052).

The spelling of 210320040 in words is "two hundred ten million, three hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 227 280 420 454 681 840 908 1103 1135 1362 1589 1816 2206 2270 2724 3178 3309 3405 4412 4540 4767 5448 5515 6356 6618 6810 7721 7945 8824 9080 9534 11030 12712 13236 13620 15442 15890 16545 19068 22060 23163 23835 26472 27240 30884 31780 33090 38136 38605 44120 46326 47670 61768 63560 66180 77210 92652 95340 115815 132360 154420 185304 190680 231630 250381 308840 463260 500762 751143 926520 1001524 1251905 1502286 1752667 2003048 2503810 3004572 3505334 3755715 5007620 5258001 6009144 7010668 7511430 8763335 10015240 10516002 14021336 15022860 17526670 21032004 26290005 30045720 35053340 42064008 52580010 70106680 105160020 210320040