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1034052140 = 22511101173269
BaseRepresentation
bin111101101000100…
…110001000101100
32200001202021212102
4331220212020230
54104204132030
6250335154232
734424204162
oct7550461054
92601667772
101034052140
11490771750
1224a375978
13136300694
149b493232
1560baac45
hex3da2622c

1034052140 has 96 divisors (see below), whose sum is σ = 2415147840. Its totient is φ = 368768000.

The previous prime is 1034052133. The next prime is 1034052157. The reversal of 1034052140 is 412504301.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3843926 + ... + 3844194.

It is an arithmetic number, because the mean of its divisors is an integer number (25157790).

Almost surely, 21034052140 is an apocalyptic number.

1034052140 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 1034052140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207573920).

1034052140 is an abundant number, since it is smaller than the sum of its proper divisors (1381095700).

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

1034052140 is a wasteful number, since it uses less digits than its factorization.

1034052140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1034052140 is about 32156.6811098409. The cubic root of 1034052140 is about 1011.2242580067.

Adding to 1034052140 its reverse (412504301), we get a palindrome (1446556441).

The spelling of 1034052140 in words is "one billion, thirty-four million, fifty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 173 202 220 269 346 404 505 538 692 865 1010 1076 1111 1345 1730 1903 2020 2222 2690 2959 3460 3806 4444 5380 5555 5918 7612 9515 11110 11836 14795 17473 19030 22220 27169 29590 34946 38060 46537 54338 59180 69892 87365 93074 108676 135845 174730 186148 192203 232685 271690 298859 349460 384406 465370 511907 543380 597718 768812 930740 961015 1023814 1195436 1494295 1922030 2047628 2559535 2988590 3844060 4700237 5119070 5977180 9400474 10238140 18800948 23501185 47002370 51702607 94004740 103405214 206810428 258513035 517026070 1034052140