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1481022072 = 2332231316827
BaseRepresentation
bin101100001000110…
…1001101001111000
310211012210201100100
41120101221221320
511013120201242
6402543235400
751462323415
oct13021515170
93735721310
101481022072
1169aaa8892
12353ba8b60
131a7aa912a
141009a310c
158a04b54c
hex58469a78

1481022072 has 96 divisors (see below), whose sum is σ = 4218065280. Its totient is φ = 468536640.

The previous prime is 1481022047. The next prime is 1481022073. The reversal of 1481022072 is 2702201841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1481022073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213523 + ... + 220349.

It is an arithmetic number, because the mean of its divisors is an integer number (43938180).

Almost surely, 21481022072 is an apocalyptic number.

1481022072 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 1481022072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109032640).

1481022072 is an abundant number, since it is smaller than the sum of its proper divisors (2737043208).

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

1481022072 is a wasteful number, since it uses less digits than its factorization.

1481022072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6993 (or 6986 counting only the distinct ones).

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

The square root of 1481022072 is about 38484.0495790139. The cubic root of 1481022072 is about 1139.8661153941.

The spelling of 1481022072 in words is "one billion, four hundred eighty-one million, twenty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 131 138 184 207 262 276 393 414 524 552 786 828 1048 1179 1572 1656 2358 3013 3144 4716 6026 6827 9039 9432 12052 13654 18078 20481 24104 27117 27308 36156 40962 54234 54616 61443 72312 81924 108468 122886 157021 163848 216936 245772 314042 471063 491544 628084 894337 942126 1256168 1413189 1788674 1884252 2683011 2826378 3577348 3768504 5366022 5652756 7154696 8049033 10732044 11305512 16098066 20569751 21464088 32196132 41139502 61709253 64392264 82279004 123418506 164558008 185127759 246837012 370255518 493674024 740511036 1481022072