Search a number
-
+
1531420560 = 24335708991
BaseRepresentation
bin101101101000111…
…1001111110010000
310221201122020002000
41123101321332100
511114020424220
6411543354000
752643600655
oct13321717620
93851566060
101531420560
117164a0a2a
12368a52900
131b5373a17
14107561c2c
158e6a4390
hex5b479f90

1531420560 has 80 divisors (see below), whose sum is σ = 5274900480. Its totient is φ = 408378240.

The previous prime is 1531420559. The next prime is 1531420567. The reversal of 1531420560 is 650241351.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (1531420567) 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 15 ways as a sum of consecutive naturals, for example, 352336 + ... + 356655.

It is an arithmetic number, because the mean of its divisors is an integer number (65936256).

Almost surely, 21531420560 is an apocalyptic number.

1531420560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1531420560 is an abundant number, since it is smaller than the sum of its proper divisors (3743479920).

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

1531420560 is a wasteful number, since it uses less digits than its factorization.

1531420560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709013 (or 709001 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1531420560 is about 39133.3688813013. The cubic root of 1531420560 is about 1152.6518663109.

The spelling of 1531420560 in words is "one billion, five hundred thirty-one million, four hundred twenty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 708991 1417982 2126973 2835964 3544955 4253946 5671928 6380919 7089910 8507892 10634865 11343856 12761838 14179820 17015784 19142757 21269730 25523676 28359640 31904595 34031568 38285514 42539460 51047352 56719280 63809190 76571028 85078920 95713785 102094704 127618380 153142056 170157840 191427570 255236760 306284112 382855140 510473520 765710280 1531420560