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19740072 = 23311233251
BaseRepresentation
bin100101101001…
…1010110101000
31101010220021210
41023103112220
520023140242
61543033120
7326534142
oct113232650
941126253
1019740072
1110163010
12673b7a0
134122021
14289bc92
151aedd9c
hex12d35a8

19740072 has 64 divisors (see below), whose sum is σ = 56194560. Its totient is φ = 5720000.

The previous prime is 19740067. The next prime is 19740121. The reversal of 19740072 is 27004791.

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, 4447 + ... + 7697.

It is an arithmetic number, because the mean of its divisors is an integer number (878040).

Almost surely, 219740072 is an apocalyptic number.

19740072 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 19740072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28097280).

19740072 is an abundant number, since it is smaller than the sum of its proper divisors (36454488).

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

19740072 is a wasteful number, since it uses less digits than its factorization.

19740072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3294 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 19740072 is about 4442.9800809817. The cubic root of 19740072 is about 270.2607084019.

The spelling of 19740072 in words is "nineteen million, seven hundred forty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 3251 6072 6502 9753 13004 19506 26008 35761 39012 71522 74773 78024 107283 143044 149546 214566 224319 286088 299092 429132 448638 598184 822503 858264 897276 1645006 1794552 2467509 3290012 4935018 6580024 9870036 19740072