Search a number
-
+
1540024224 = 25323967121
BaseRepresentation
bin101101111001010…
…1110011110100000
310222022211100002020
41123302232132200
511123221233344
6412452021440
753106663354
oct13362563640
93868740066
101540024224
11720337aa2
1236b901880
131b7096b4b
14108761464
1590303719
hex5bcae7a0

1540024224 has 48 divisors (see below), whose sum is σ = 4059538560. Its totient is φ = 511185920.

The previous prime is 1540024141. The next prime is 1540024307. The reversal of 1540024224 is 4224200451.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1540024141) and next prime (1540024307).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×15400242242 = 4743349221013604352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1540024194 and 1540024203.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10617 + ... + 56504.

It is an arithmetic number, because the mean of its divisors is an integer number (84573720).

Almost surely, 21540024224 is an apocalyptic number.

It is an amenable number.

1540024224 is an abundant number, since it is smaller than the sum of its proper divisors (2519514336).

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

1540024224 is a wasteful number, since it uses less digits than its factorization.

1540024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67373 (or 67365 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 1540024224 is about 39243.1423818226. The cubic root of 1540024224 is about 1154.8064052130.

Adding to 1540024224 its reverse (4224200451), we get a palindrome (5764224675).

The spelling of 1540024224 in words is "one billion, five hundred forty million, twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 956 1434 1912 2868 3824 5736 7648 11472 22944 67121 134242 201363 268484 402726 536968 805452 1073936 1610904 2147872 3221808 6443616 16041919 32083838 48125757 64167676 96251514 128335352 192503028 256670704 385006056 513341408 770012112 1540024224