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1020151340 = 2251341831153
BaseRepresentation
bin111100110011100…
…100011000101100
32122002121001112222
4330303210120230
54042124320330
6245121214512
734165100105
oct7463443054
92562531488
101020151340
1148393788a
12245791438
13133474460
14996b53ac
155e8620e5
hex3cce462c

1020151340 has 96 divisors (see below), whose sum is σ = 2393931456. Its totient is φ = 362741760.

The previous prime is 1020151289. The next prime is 1020151387. The reversal of 1020151340 is 431510201.

1020151340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 884204 + ... + 885356.

It is an arithmetic number, because the mean of its divisors is an integer number (24936786).

Almost surely, 21020151340 is an apocalyptic number.

1020151340 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 1020151340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196965728).

1020151340 is an abundant number, since it is smaller than the sum of its proper divisors (1373780116).

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

1020151340 is a wasteful number, since it uses less digits than its factorization.

1020151340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1020151340 is about 31939.8080770690. The cubic root of 1020151340 is about 1006.6724921572.

Adding to 1020151340 its reverse (431510201), we get a palindrome (1451661541).

The spelling of 1020151340 in words is "one billion, twenty million, one hundred fifty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 83 130 164 166 205 260 332 410 415 533 820 830 1066 1079 1153 1660 2132 2158 2306 2665 3403 4316 4612 5330 5395 5765 6806 10660 10790 11530 13612 14989 17015 21580 23060 29978 34030 44239 47273 59956 68060 74945 88478 94546 95699 149890 176956 189092 191398 221195 236365 299780 382796 442390 472730 478495 614549 884780 945460 956990 1229098 1244087 1913980 2458196 2488174 3072745 3923659 4976348 6145490 6220435 7847318 12290980 12440870 15694636 19618295 24881740 39236590 51007567 78473180 102015134 204030268 255037835 510075670 1020151340