Search a number
-
+
10330042240 = 275719911587
BaseRepresentation
bin10011001111011011…
…11110111110000000
3222122220210111222001
421213231332332000
5132123442322430
64425012353344
7513662624140
oct114755767600
928586714861
1010330042240
1144210486a1
122003615854
13c881a653b
146ddd16920
15406d533ca
hex267b7ef80

10330042240 has 128 divisors (see below), whose sum is σ = 28367424000. Its totient is φ = 3523627008.

The previous prime is 10330042223. The next prime is 10330042241. The reversal of 10330042240 is 4224003301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10330042241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 885727 + ... + 897313.

It is an arithmetic number, because the mean of its divisors is an integer number (221620500).

Almost surely, 210330042240 is an apocalyptic number.

10330042240 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 10330042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14183712000).

10330042240 is an abundant number, since it is smaller than the sum of its proper divisors (18037381760).

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

10330042240 is a wasteful number, since it uses less digits than its factorization.

10330042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11812 (or 11800 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 10330042240 its reverse (4224003301), we get a palindrome (14554045541).

The spelling of 10330042240 in words is "ten billion, three hundred thirty million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 199 224 280 320 398 448 560 640 796 896 995 1120 1393 1592 1990 2240 2786 3184 3980 4480 5572 6368 6965 7960 11144 11587 12736 13930 15920 22288 23174 25472 27860 31840 44576 46348 55720 57935 63680 81109 89152 92696 111440 115870 127360 162218 178304 185392 222880 231740 324436 370784 405545 445760 463480 648872 741568 811090 891520 926960 1297744 1483136 1622180 1853920 2305813 2595488 3244360 3707840 4611626 5190976 6488720 7415680 9223252 10381952 11529065 12977440 16140691 18446504 23058130 25954880 32281382 36893008 46116260 51909760 64562764 73786016 80703455 92232520 129125528 147572032 161406910 184465040 258251056 295144064 322813820 368930080 516502112 645627640 737860160 1033004224 1291255280 1475720320 2066008448 2582510560 5165021120 10330042240