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1142345120 = 25578771163
BaseRepresentation
bin100010000010110…
…1100110110100000
32221121112010220112
41010011230312200
54314420020440
6305204230452
740210526150
oct10405546640
92847463815
101142345120
11536907884
1227a69b428
13152888a77
14aba02760
156a44c965
hex4416cda0

1142345120 has 96 divisors (see below), whose sum is σ = 3090503808. Its totient is φ = 390878208.

The previous prime is 1142345101. The next prime is 1142345131. The reversal of 1142345120 is 215432411.

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, 981659 + ... + 982821.

It is an arithmetic number, because the mean of its divisors is an integer number (32192748).

Almost surely, 21142345120 is an apocalyptic number.

1142345120 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 1142345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545251904).

1142345120 is an abundant number, since it is smaller than the sum of its proper divisors (1948158688).

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

1142345120 is a wasteful number, since it uses less digits than its factorization.

1142345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 1142345120 is about 33798.5964205616. The cubic root of 1142345120 is about 1045.3597564790.

Adding to 1142345120 its reverse (215432411), we get a palindrome (1357777531).

The spelling of 1142345120 in words is "one billion, one hundred forty-two million, three hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 877 1120 1163 1754 2326 3508 4385 4652 5815 6139 7016 8141 8770 9304 11630 12278 14032 16282 17540 18608 23260 24556 28064 30695 32564 35080 37216 40705 46520 49112 61390 65128 70160 81410 93040 98224 122780 130256 140320 162820 186080 196448 245560 260512 325640 491120 651280 982240 1019951 1302560 2039902 4079804 5099755 7139657 8159608 10199510 14279314 16319216 20399020 28558628 32638432 35698285 40798040 57117256 71396570 81596080 114234512 142793140 163192160 228469024 285586280 571172560 1142345120