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1142255040 = 26355872027
BaseRepresentation
bin100010000010101…
…0110110111000000
32221121100120100020
41010011112313000
54314404130130
6305202253440
740210002423
oct10405266700
92847316306
101142255040
11536856133
1227a657280
13152856a74
14ab9bb9ba
156a430e10
hex44156dc0

1142255040 has 112 divisors (see below), whose sum is σ = 3634630272. Its totient is φ = 303932416.

The previous prime is 1142255033. The next prime is 1142255057. The reversal of 1142255040 is 405522411.

1142255040 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1142255040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562507 + ... + 564533.

It is an arithmetic number, because the mean of its divisors is an integer number (32452056).

Almost surely, 21142255040 is an apocalyptic number.

1142255040 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 1142255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817315136).

1142255040 is an abundant number, since it is smaller than the sum of its proper divisors (2492375232).

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

1142255040 is a wasteful number, since it uses less digits than its factorization.

1142255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1142255040 is about 33797.2637945737. The cubic root of 1142255040 is about 1045.3322783610.

Adding to 1142255040 its reverse (405522411), we get a palindrome (1547777451).

The spelling of 1142255040 in words is "one billion, one hundred forty-two million, two hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 587 960 1174 1761 2027 2348 2935 3522 4054 4696 5870 6081 7044 8108 8805 9392 10135 11740 12162 14088 16216 17610 18784 20270 23480 24324 28176 30405 32432 35220 37568 40540 46960 48648 56352 60810 64864 70440 81080 93920 97296 112704 121620 129728 140880 162160 187840 194592 243240 281760 324320 389184 486480 563520 648640 972960 1189849 1945920 2379698 3569547 4759396 5949245 7139094 9518792 11898490 14278188 17847735 19037584 23796980 28556376 35695470 38075168 47593960 57112752 71390940 76150336 95187920 114225504 142781880 190375840 228451008 285563760 380751680 571127520 1142255040