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1463431420 = 2251167101983
BaseRepresentation
bin101011100111010…
…0011000011111100
310202222201000111201
41113032203003330
510444114301140
6401114225244
751156650623
oct12716430374
93688630451
101463431420
11691083760
1234a125224
131a425a569
14dc5046ba
158872449a
hex573a30fc

1463431420 has 96 divisors (see below), whose sum is σ = 3439812096. Its totient is φ = 518496000.

The previous prime is 1463431399. The next prime is 1463431423. The reversal of 1463431420 is 241343641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463431423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1488249 + ... + 1489231.

It is an arithmetic number, because the mean of its divisors is an integer number (35831376).

Almost surely, 21463431420 is an apocalyptic number.

1463431420 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 1463431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719906048).

1463431420 is an abundant number, since it is smaller than the sum of its proper divisors (1976380676).

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

1463431420 is a wasteful number, since it uses less digits than its factorization.

1463431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 1463431420 is about 38254.8221796939. The cubic root of 1463431420 is about 1135.3352577508.

The spelling of 1463431420 in words is "one billion, four hundred sixty-three million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 101 110 134 202 220 268 335 404 505 670 737 983 1010 1111 1340 1474 1966 2020 2222 2948 3685 3932 4444 4915 5555 6767 7370 9830 10813 11110 13534 14740 19660 21626 22220 27068 33835 43252 54065 65861 67670 74437 99283 108130 131722 135340 148874 198566 216260 263444 297748 329305 372185 397132 496415 658610 724471 744370 992830 1092113 1317220 1448942 1488740 1985660 2184226 2897884 3622355 4368452 5460565 6651961 7244710 10921130 13303922 14489420 21842260 26607844 33259805 66519610 73171571 133039220 146343142 292686284 365857855 731715710 1463431420