Search a number
-
+
10354020240 = 243565366067
BaseRepresentation
bin10011010010010010…
…11100111110010000
3222201120220201121010
421221021130332100
5132201112121430
64431230330520
7514403501634
oct115111347620
928646821533
1010354020240
114433635723
12200b659a40
13c901504c5
14703198dc4
15408edccb0
hex26925cf90

10354020240 has 80 divisors (see below), whose sum is σ = 32147103168. Its totient is φ = 2756802048.

The previous prime is 10354020223. The next prime is 10354020247. The reversal of 10354020240 is 4202045301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×103540202403 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10354020247) 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, 123687 + ... + 189753.

Almost surely, 210354020240 is an apocalyptic number.

10354020240 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 10354020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16073551584).

10354020240 is an abundant number, since it is smaller than the sum of its proper divisors (21793082928).

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

10354020240 is a wasteful number, since it uses less digits than its factorization.

10354020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66736 (or 66730 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 10354020240 its reverse (4202045301), we get a palindrome (14556065541).

The spelling of 10354020240 in words is "ten billion, three hundred fifty-four million, twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 653 1306 1959 2612 3265 3918 5224 6530 7836 9795 10448 13060 15672 19590 26120 31344 39180 52240 66067 78360 132134 156720 198201 264268 330335 396402 528536 660670 792804 991005 1057072 1321340 1585608 1982010 2642680 3171216 3964020 5285360 7928040 15856080 43141751 86283502 129425253 172567004 215708755 258850506 345134008 431417510 517701012 647126265 690268016 862835020 1035402024 1294252530 1725670040 2070804048 2588505060 3451340080 5177010120 10354020240