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1050165340 = 2257191033833
BaseRepresentation
bin111110100110000…
…100000001011100
32201012001221000121
4332212010001130
54122320242330
6252112404324
735011154350
oct7646040134
92635057017
101050165340
11499877844
122538466a4
13139752913
149d689460
15622e017a
hex3e98405c

1050165340 has 96 divisors (see below), whose sum is σ = 2679505920. Its totient is φ = 337706496.

The previous prime is 1050165329. The next prime is 1050165341. The reversal of 1050165340 is 435610501.

It is a super-2 number, since 2×10501653402 = 2205694482674631200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050165341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272064 + ... + 275896.

It is an arithmetic number, because the mean of its divisors is an integer number (27911520).

Almost surely, 21050165340 is an apocalyptic number.

1050165340 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 1050165340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339752960).

1050165340 is an abundant number, since it is smaller than the sum of its proper divisors (1629340580).

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

1050165340 is a wasteful number, since it uses less digits than its factorization.

1050165340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 1050165340 is about 32406.2546432012. The cubic root of 1050165340 is about 1016.4497035303.

Adding to 1050165340 its reverse (435610501), we get a palindrome (1485775841).

The spelling of 1050165340 in words is "one billion, fifty million, one hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 103 133 140 190 206 266 380 412 515 532 665 721 1030 1330 1442 1957 2060 2660 2884 3605 3833 3914 7210 7666 7828 9785 13699 14420 15332 19165 19570 26831 27398 38330 39140 53662 54796 68495 72827 76660 107324 134155 136990 145654 268310 273980 291308 364135 394799 509789 536620 728270 789598 1019578 1456540 1579196 1973995 2039156 2548945 2763593 3947990 5097890 5527186 7501181 7895980 10195780 11054372 13817965 15002362 27635930 30004724 37505905 52508267 55271860 75011810 105016534 150023620 210033068 262541335 525082670 1050165340