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455543040 = 2835971223
BaseRepresentation
bin11011001001110…
…000100100000000
31011202011222120110
4123021300210000
51413104334130
6113111511320
714201023551
oct3311604400
91152158513
10455543040
11214162257
12108688540
13734ba9c4
1444702328
1529ed5ab0
hex1b270900

455543040 has 144 divisors (see below), whose sum is σ = 1471091328. Its totient is φ = 120127488.

The previous prime is 455542987. The next prime is 455543041. The reversal of 455543040 is 40345554.

It is a super-2 number, since 2×4555430402 = 415038922584883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 455542989 and 455543007.

It is not an unprimeable number, because it can be changed into a prime (455543041) 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, 371869 + ... + 373091.

It is an arithmetic number, because the mean of its divisors is an integer number (10215912).

Almost surely, 2455543040 is an apocalyptic number.

455543040 is a gapful number since it is divisible by the number (40) 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 455543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735545664).

455543040 is an abundant number, since it is smaller than the sum of its proper divisors (1015548288).

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

455543040 is a wasteful number, since it uses less digits than its factorization.

455543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 455543040 is about 21343.4542658868. The cubic root of 455543040 is about 769.4430334422.

Adding to 455543040 its reverse (40345554), we get a palindrome (495888594).

The spelling of 455543040 in words is "four hundred fifty-five million, five hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 128 160 192 194 240 256 291 320 384 388 480 485 582 640 768 776 960 970 1164 1223 1280 1455 1552 1920 1940 2328 2446 2910 3104 3669 3840 3880 4656 4892 5820 6115 6208 7338 7760 9312 9784 11640 12230 12416 14676 15520 18345 18624 19568 23280 24460 24832 29352 31040 36690 37248 39136 46560 48920 58704 62080 73380 74496 78272 93120 97840 117408 118631 124160 146760 156544 186240 195680 234816 237262 293520 313088 355893 372480 391360 469632 474524 587040 593155 711786 782720 939264 949048 1174080 1186310 1423572 1565440 1779465 1898096 2348160 2372620 2847144 3558930 3796192 4696320 4745240 5694288 7117860 7592384 9490480 11388576 14235720 15184768 18980960 22777152 28471440 30369536 37961920 45554304 56942880 75923840 91108608 113885760 151847680 227771520 455543040