Search a number
-
+
97346200 = 23527312243
BaseRepresentation
bin1011100110101…
…10001010011000
320210011200212211
411303112022120
5144410034300
613354244504
72261300110
oct563261230
9223150784
1097346200
114aa49706
1228726734
1317224903
14cd00040
15882d4ba
hex5cd6298

97346200 has 96 divisors (see below), whose sum is σ = 267125760. Its totient is φ = 32284800.

The previous prime is 97346191. The next prime is 97346201. The reversal of 97346200 is 264379.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97346201) 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 23 ways as a sum of consecutive naturals, for example, 42279 + ... + 44521.

It is an arithmetic number, because the mean of its divisors is an integer number (2782560).

Almost surely, 297346200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97346200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133562880).

97346200 is an abundant number, since it is smaller than the sum of its proper divisors (169779560).

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

97346200 is a wasteful number, since it uses less digits than its factorization.

97346200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 97346200 is about 9866.4177896540. The cubic root of 97346200 is about 460.0160674917.

The spelling of 97346200 in words is "ninety-seven million, three hundred forty-six thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 100 124 140 155 175 200 217 248 280 310 350 434 620 700 775 868 1085 1240 1400 1550 1736 2170 2243 3100 4340 4486 5425 6200 8680 8972 10850 11215 15701 17944 21700 22430 31402 43400 44860 56075 62804 69533 78505 89720 112150 125608 139066 157010 224300 278132 314020 347665 392525 448600 486731 556264 628040 695330 785050 973462 1390660 1570100 1738325 1946924 2433655 2781320 3140200 3476650 3893848 4867310 6953300 9734620 12168275 13906600 19469240 24336550 48673100 97346200