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1201073424 = 243311395807
BaseRepresentation
bin100011110010110…
…1110110100010000
310002201000211222220
41013211232310100
54424433322144
6315103101040
741522645535
oct10745566420
93081024886
101201073424
11566a7a271
122962a1780
13161aabc45
14b572cd8c
157069d919
hex4796ed10

1201073424 has 80 divisors (see below), whose sum is σ = 3226460160. Its totient is φ = 384589440.

The previous prime is 1201073413. The next prime is 1201073431. The reversal of 1201073424 is 4243701021.

It is a happy number.

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 = 1201073394 and 1201073403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203929 + ... + 209735.

It is an arithmetic number, because the mean of its divisors is an integer number (40330752).

Almost surely, 21201073424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201073424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613230080).

1201073424 is an abundant number, since it is smaller than the sum of its proper divisors (2025386736).

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

1201073424 is a wasteful number, since it uses less digits than its factorization.

1201073424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5988 (or 5982 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 1201073424 is about 34656.5062289897. The cubic root of 1201073424 is about 1062.9753311992.

Adding to 1201073424 its reverse (4243701021), we get a palindrome (5444774445).

The spelling of 1201073424 in words is "one billion, two hundred one million, seventy-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 139 186 248 278 372 417 496 556 744 834 1112 1488 1668 2224 3336 4309 5807 6672 8618 11614 12927 17236 17421 23228 25854 34472 34842 46456 51708 68944 69684 92912 103416 139368 180017 206832 278736 360034 540051 720068 807173 1080102 1440136 1614346 2160204 2421519 2880272 3228692 4320408 4843038 6457384 8640816 9686076 12914768 19372152 25022363 38744304 50044726 75067089 100089452 150134178 200178904 300268356 400357808 600536712 1201073424