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1405121424 = 24374181909
BaseRepresentation
bin101001111000000…
…0111001110010000
310121220222120020020
41103300013032100
510334202341144
6351232343440
746551222630
oct12360071620
93556876206
101405121424
11661177583
123326a4b80
131951528c5
14d48866c0
1583557419
hex53c07390

1405121424 has 40 divisors (see below), whose sum is σ = 4148454720. Its totient is φ = 401463168.

The previous prime is 1405121423. The next prime is 1405121429. The reversal of 1405121424 is 4241215041.

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 = 1405121394 and 1405121403.

It is not an unprimeable number, because it can be changed into a prime (1405121423) by changing a digit.

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, 2090619 + ... + 2091290.

It is an arithmetic number, because the mean of its divisors is an integer number (103711368).

Almost surely, 21405121424 is an apocalyptic number.

1405121424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1405121424 is an abundant number, since it is smaller than the sum of its proper divisors (2743333296).

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

1405121424 is a wasteful number, since it uses less digits than its factorization.

1405121424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181927 (or 4181921 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1405121424 is about 37484.9492996856. The cubic root of 1405121424 is about 1120.0513964509.

Adding to 1405121424 its reverse (4241215041), we get a palindrome (5646336465).

The spelling of 1405121424 in words is "one billion, four hundred five million, one hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 4181909 8363818 12545727 16727636 25091454 29273363 33455272 50182908 58546726 66910544 87820089 100365816 117093452 175640178 200731632 234186904 351280356 468373808 702560712 1405121424