Search a number
-
+
1450152240 = 243535317117
BaseRepresentation
bin101011001101111…
…1001000100110000
310202001201100220020
41112123321010300
510432214332430
6355521443440
750636043045
oct12633710460
93661640806
101450152240
11684633929
123457a0580
131a158b264
14da8491cc
158749eb10
hex566f9130

1450152240 has 80 divisors (see below), whose sum is σ = 4508470368. Its totient is φ = 385589248.

The previous prime is 1450152233. The next prime is 1450152283. The reversal of 1450152240 is 422510541.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1450152240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76162 + ... + 93278.

Almost surely, 21450152240 is an apocalyptic number.

1450152240 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 1450152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254235184).

1450152240 is an abundant number, since it is smaller than the sum of its proper divisors (3058318128).

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

1450152240 is a wasteful number, since it uses less digits than its factorization.

1450152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17486 (or 17480 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1450152240 is about 38080.8644859856. The cubic root of 1450152240 is about 1131.8908067666.

Adding to 1450152240 its reverse (422510541), we get a palindrome (1872662781).

The spelling of 1450152240 in words is "one billion, four hundred fifty million, one hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 353 706 1059 1412 1765 2118 2824 3530 4236 5295 5648 7060 8472 10590 14120 16944 17117 21180 28240 34234 42360 51351 68468 84720 85585 102702 136936 171170 205404 256755 273872 342340 410808 513510 684680 821616 1027020 1369360 2054040 4108080 6042301 12084602 18126903 24169204 30211505 36253806 48338408 60423010 72507612 90634515 96676816 120846020 145015224 181269030 241692040 290030448 362538060 483384080 725076120 1450152240