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1020050340 = 2235191098209
BaseRepresentation
bin111100110011001…
…011101110100100
32122002101221000020
4330303023232210
54042113102330
6245115115140
734164166461
oct7463135644
92562357006
101020050340
11483878a11
12245742ab0
1313343a4aa
149968a668
155e842210
hex3cccbba4

1020050340 has 96 divisors (see below), whose sum is σ = 3034416000. Its totient is φ = 255301632.

The previous prime is 1020050287. The next prime is 1020050341. The reversal of 1020050340 is 430500201.

It is a super-2 number, since 2×10200503402 = 2081005392268231200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1020050341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120156 + ... + 128364.

It is an arithmetic number, because the mean of its divisors is an integer number (31608500).

Almost surely, 21020050340 is an apocalyptic number.

1020050340 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 1020050340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517208000).

1020050340 is an abundant number, since it is smaller than the sum of its proper divisors (2014365660).

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

1020050340 is a wasteful number, since it uses less digits than its factorization.

1020050340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8349 (or 8347 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1020050340 is about 31938.2269388894. The cubic root of 1020050340 is about 1006.6392692182.

Adding to 1020050340 its reverse (430500201), we get a palindrome (1450550541).

The spelling of 1020050340 in words is "one billion, twenty million, fifty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 109 114 190 218 228 285 327 380 436 545 570 654 1090 1140 1308 1635 2071 2180 3270 4142 6213 6540 8209 8284 10355 12426 16418 20710 24627 24852 31065 32836 41045 41420 49254 62130 82090 98508 123135 124260 155971 164180 246270 311942 467913 492540 623884 779855 894781 935826 1559710 1789562 1871652 2339565 2684343 3119420 3579124 4473905 4679130 5368686 8947810 9358260 10737372 13421715 17000839 17895620 26843430 34001678 51002517 53686860 68003356 85004195 102005034 170008390 204010068 255012585 340016780 510025170 1020050340