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11442300 = 2235243887
BaseRepresentation
bin101011101001…
…100001111100
3210112022212220
4223221201330
510412123200
61045125340
7166154322
oct53514174
923468786
1011442300
116505851
1239b9850
1324a81bc
14173bd12
1510104a0
hexae987c

11442300 has 72 divisors (see below), whose sum is σ = 33914496. Its totient is φ = 2976960.

The previous prime is 11442271. The next prime is 11442307. The reversal of 11442300 is 324411.

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 11442300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11442307) 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, 12457 + ... + 13343.

Almost surely, 211442300 is an apocalyptic number.

11442300 is a gapful number since it is divisible by the number (10) 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 11442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16957248).

11442300 is an abundant number, since it is smaller than the sum of its proper divisors (22472196).

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

11442300 is a wasteful number, since it uses less digits than its factorization.

11442300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 11442300 is about 3382.6468925976. The cubic root of 11442300 is about 225.3397336822.

Adding to 11442300 its reverse (324411), we get a palindrome (11766711).

The spelling of 11442300 in words is "eleven million, four hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 887 1075 1290 1774 2150 2580 2661 3225 3548 4300 4435 5322 6450 8870 10644 12900 13305 17740 22175 26610 38141 44350 53220 66525 76282 88700 114423 133050 152564 190705 228846 266100 381410 457692 572115 762820 953525 1144230 1907050 2288460 2860575 3814100 5721150 11442300