Search a number
-
+
5431454400 = 263521131553
BaseRepresentation
bin1010000111011110…
…10110101011000000
3112000112020110201210
411003233112223000
542110423020100
62254542530120
7251411413011
oct50357265300
915015213653
105431454400
112337a07099
121076b96940
13687364158
143974d3008
1521bc7ec50
hex143bd6ac0

5431454400 has 84 divisors (see below), whose sum is σ = 17819712392. Its totient is φ = 1448386560.

The previous prime is 5431454381. The next prime is 5431454429. The reversal of 5431454400 is 44541345.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 560977 + ... + 570576.

Almost surely, 25431454400 is an apocalyptic number.

5431454400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5431454400 is an abundant number, since it is smaller than the sum of its proper divisors (12388257992).

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

5431454400 is a wasteful number, since it uses less digits than its factorization.

5431454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131578 (or 1131563 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 5431454400 is about 73698.4016108898. The cubic root of 5431454400 is about 1757.8104659374.

Adding to 5431454400 its reverse (44541345), we get a palindrome (5475995745).

The spelling of 5431454400 in words is "five billion, four hundred thirty-one million, four hundred fifty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 1131553 2263106 3394659 4526212 5657765 6789318 9052424 11315530 13578636 16973295 18104848 22631060 27157272 28288825 33946590 36209696 45262120 54314544 56577650 67893180 72419392 84866475 90524240 108629088 113155300 135786360 169732950 181048480 217258176 226310600 271572720 339465900 362096960 452621200 543145440 678931800 905242400 1086290880 1357863600 1810484800 2715727200 5431454400