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10033140 = 22351319677
BaseRepresentation
bin100110010001…
…011111110100
3200212201212210
4212101133310
510032030030
6555013420
7151165065
oct46213764
920781783
1010033140
115733057
12343a270
132103990
14149256c
15d32bb0
hex9917f4

10033140 has 96 divisors (see below), whose sum is σ = 31893120. Its totient is φ = 2336256.

The previous prime is 10033117. The next prime is 10033169. The reversal of 10033140 is 4133001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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, 14482 + ... + 15158.

It is an arithmetic number, because the mean of its divisors is an integer number (332220).

Almost surely, 210033140 is an apocalyptic number.

10033140 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 10033140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15946560).

10033140 is an abundant number, since it is smaller than the sum of its proper divisors (21859980).

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

10033140 is a wasteful number, since it uses less digits than its factorization.

10033140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 10033140 is about 3167.5132201776. The cubic root of 10033140 is about 215.6811998017.

Adding to 10033140 its reverse (4133001), we get a palindrome (14166141).

The spelling of 10033140 in words is "ten million, thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 677 741 780 988 1140 1235 1354 1482 2031 2470 2708 2964 3385 3705 4062 4940 6770 7410 8124 8801 10155 12863 13540 14820 17602 20310 25726 26403 35204 38589 40620 44005 51452 52806 64315 77178 88010 105612 128630 132015 154356 167219 176020 192945 257260 264030 334438 385890 501657 528060 668876 771780 836095 1003314 1672190 2006628 2508285 3344380 5016570 10033140