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1140304100 = 2252134320399
BaseRepresentation
bin100001111110111…
…1010100011100100
32221110200110011012
41003331322203210
54313404212400
6305052401352
740154265515
oct10375724344
92843613135
101140304100
11535743391
12279a76258
13152322a70
14ab630a0c
156a197d35
hex43f7a8e4

1140304100 has 72 divisors (see below), whose sum is σ = 2726908800. Its totient is φ = 411223680.

The previous prime is 1140304043. The next prime is 1140304127. The reversal of 1140304100 is 14030411.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45701 + ... + 66099.

Almost surely, 21140304100 is an apocalyptic number.

1140304100 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 1140304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363454400).

1140304100 is an abundant number, since it is smaller than the sum of its proper divisors (1586604700).

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

1140304100 is a wasteful number, since it uses less digits than its factorization.

1140304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20469 (or 20462 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1140304100 is about 33768.3890643306. The cubic root of 1140304100 is about 1044.7368063472.

Adding to 1140304100 its reverse (14030411), we get a palindrome (1154334511).

The spelling of 1140304100 in words is "one billion, one hundred forty million, three hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 43 50 52 65 86 100 130 172 215 260 325 430 559 650 860 1075 1118 1300 2150 2236 2795 4300 5590 11180 13975 20399 27950 40798 55900 81596 101995 203990 265187 407980 509975 530374 877157 1019950 1060748 1325935 1754314 2039900 2651870 3508628 4385785 5303740 6629675 8771570 11403041 13259350 17543140 21928925 22806082 26518700 43857850 45612164 57015205 87715700 114030410 228060820 285076025 570152050 1140304100