Search a number
-
+
464128240 = 24543134921
BaseRepresentation
bin11011101010100…
…000100011110000
31012100100011020211
4123222200203300
51422304100430
6114015513504
714334011362
oct3352404360
91170304224
10464128240
11218a96464
1210b528894
13752055c4
14458d8d32
152ab2e72a
hex1baa08f0

464128240 has 40 divisors (see below), whose sum is σ = 1104201648. Its totient is φ = 181332480.

The previous prime is 464128183. The next prime is 464128307. The reversal of 464128240 is 42821464.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64021 + ... + 70900.

Almost surely, 2464128240 is an apocalyptic number.

464128240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464128240 is an abundant number, since it is smaller than the sum of its proper divisors (640073408).

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

464128240 is a wasteful number, since it uses less digits than its factorization.

464128240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134977 (or 134971 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 464128240 is about 21543.6357191631. The cubic root of 464128240 is about 774.2466435703.

The spelling of 464128240 in words is "four hundred sixty-four million, one hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 134921 269842 539684 674605 1079368 1349210 2158736 2698420 5396840 5801603 10793680 11603206 23206412 29008015 46412824 58016030 92825648 116032060 232064120 464128240