Search a number
-
+
19797440 = 265134759
BaseRepresentation
bin100101110000…
…1010111000000
31101020210222112
41023201113000
520032004230
61544154452
7330163325
oct113412700
941223875
1019797440
11101a2123
126768a28
134142180
1428b4b4c
151b10d95
hex12e15c0

19797440 has 56 divisors (see below), whose sum is σ = 50779680. Its totient is φ = 7308288.

The previous prime is 19797439. The next prime is 19797443. The reversal of 19797440 is 4479791.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19797443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1781 + ... + 6539.

It is an arithmetic number, because the mean of its divisors is an integer number (906780).

Almost surely, 219797440 is an apocalyptic number.

19797440 is a gapful number since it is divisible by the number (10) 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 19797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25389840).

19797440 is an abundant number, since it is smaller than the sum of its proper divisors (30982240).

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

19797440 is a wasteful number, since it uses less digits than its factorization.

19797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4789 (or 4779 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 41.

The square root of 19797440 is about 4449.4314243508. The cubic root of 19797440 is about 270.5222630225.

The spelling of 19797440 in words is "nineteen million, seven hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 4759 9518 19036 23795 38072 47590 61867 76144 95180 123734 152288 190360 247468 304576 309335 380720 494936 618670 761440 989872 1237340 1522880 1979744 2474680 3959488 4949360 9898720 19797440