Search a number
-
+
10154330240 = 27531511811
BaseRepresentation
bin10010111010011111…
…01100100010000000
3222012200011102102012
421131033230202000
5131244002031430
64355334312052
7506430245225
oct113517544200
928180142365
1010154330240
11434094466a
121b747b8628
13c5a974342
146c485794c
153e66e5695
hex25d3ec880

10154330240 has 64 divisors (see below), whose sum is σ = 25058315520. Its totient is φ = 3930700800.

The previous prime is 10154330239. The next prime is 10154330269. The reversal of 10154330240 is 4203345101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×101543302402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236066 + ... + 275745.

It is an arithmetic number, because the mean of its divisors is an integer number (391536180).

Almost surely, 210154330240 is an apocalyptic number.

10154330240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10154330240 is an abundant number, since it is smaller than the sum of its proper divisors (14903985280).

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

10154330240 is an equidigital number, since it uses as much as digits as its factorization.

10154330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511861 (or 511849 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 10154330240 its reverse (4203345101), we get a palindrome (14357675341).

The spelling of 10154330240 in words is "ten billion, one hundred fifty-four million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 9920 19840 511811 1023622 2047244 2559055 4094488 5118110 8188976 10236220 15866141 16377952 20472440 31732282 32755904 40944880 63464564 65511808 79330705 81889760 126929128 158661410 163779520 253858256 317322820 327559040 507716512 634645640 1015433024 1269291280 2030866048 2538582560 5077165120 10154330240