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1480012272 = 243223344111
BaseRepresentation
bin101100000110111…
…0011000111110000
310211010220102011100
41120031303013300
511012340343042
6402505444400
751450616404
oct13015630760
93733812140
101480012272
1169a479142
123537a0700
131a781460b
141007bd104
1589dec24c
hex583731f0

1480012272 has 60 divisors (see below), whose sum is σ = 4159849824. Its totient is φ = 491208960.

The previous prime is 1480012229. The next prime is 1480012279. The reversal of 1480012272 is 2722100841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1480012279) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11497 + ... + 55607.

Almost surely, 21480012272 is an apocalyptic number.

1480012272 is a gapful number since it is divisible by the number (12) 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 1480012272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079924912).

1480012272 is an abundant number, since it is smaller than the sum of its proper divisors (2679837552).

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

1480012272 is a wasteful number, since it uses less digits than its factorization.

1480012272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44358 (or 44349 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1480012272 is about 38470.9276207372. The cubic root of 1480012272 is about 1139.6069928763.

It can be divided in two parts, 14800 and 12272, that added together give a palindrome (27072).

The spelling of 1480012272 in words is "one billion, four hundred eighty million, twelve thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 233 466 699 932 1398 1864 2097 2796 3728 4194 5592 8388 11184 16776 33552 44111 88222 132333 176444 264666 352888 396999 529332 705776 793998 1058664 1587996 2117328 3175992 6351984 10277863 20555726 30833589 41111452 61667178 82222904 92500767 123334356 164445808 185001534 246668712 370003068 493337424 740006136 1480012272