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1142242400 = 255213109831
BaseRepresentation
bin100010000010101…
…0011110001100000
32221121022221000002
41010011103301200
54314403224100
6305202115132
740206620525
oct10405236140
92847287002
101142242400
11536847692
1227a64baa8
131528510a0
14ab9b714c
156a42c2d5
hex44153c60

1142242400 has 72 divisors (see below), whose sum is σ = 3003026544. Its totient is φ = 421747200.

The previous prime is 1142242397. The next prime is 1142242403. The reversal of 1142242400 is 42422411.

It is an interprime number because it is at equal distance from previous prime (1142242397) and next prime (1142242403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142242403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44516 + ... + 65315.

It is an arithmetic number, because the mean of its divisors is an integer number (41708702).

Almost surely, 21142242400 is an apocalyptic number.

1142242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142242400 is an abundant number, since it is smaller than the sum of its proper divisors (1860784144).

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

1142242400 is a wasteful number, since it uses less digits than its factorization.

1142242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109864 (or 109851 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1142242400 is about 33797.0767966699. The cubic root of 1142242400 is about 1045.3284225237.

Adding to 1142242400 its reverse (42422411), we get a palindrome (1184664811).

The spelling of 1142242400 in words is "one billion, one hundred forty-two million, two hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 2080 2600 5200 10400 109831 219662 439324 549155 878648 1098310 1427803 1757296 2196620 2745775 2855606 3514592 4393240 5491550 5711212 7139015 8786480 10983100 11422424 14278030 17572960 21966200 22844848 28556060 35695075 43932400 45689696 57112120 71390150 87864800 114224240 142780300 228448480 285560600 571121200 1142242400