Search a number
-
+
19996650 = 23252371201
BaseRepresentation
bin100110001000…
…1111111101010
31101121221020200
41030101333222
520104343100
61552333030
7331653162
oct114217752
941557220
1019996650
1110318863
126844176
1341b1a4b
1429275a2
151b4ee00
hex1311fea

19996650 has 72 divisors (see below), whose sum is σ = 55222284. Its totient is φ = 5184000.

The previous prime is 19996649. The next prime is 19996651. The reversal of 19996650 is 5669991.

It is an interprime number because it is at equal distance from previous prime (19996649) and next prime (19996651).

It can be written as a sum of positive squares in 6 ways, for example, as 4575321 + 15421329 = 2139^2 + 3927^2 .

It is a super-2 number, since 2×199966502 = 799732022445000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 19996596 and 19996605.

It is not an unprimeable number, because it can be changed into a prime (19996651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16050 + ... + 17250.

Almost surely, 219996650 is an apocalyptic number.

19996650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19996650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27611142).

19996650 is an abundant number, since it is smaller than the sum of its proper divisors (35225634).

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

19996650 is a wasteful number, since it uses less digits than its factorization.

19996650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 19996650 is about 4471.7613979281. The cubic root of 19996650 is about 271.4266053149.

It can be divided in two parts, 1999 and 6650, that added together give a square (8649 = 932).

The spelling of 19996650 in words is "nineteen million, nine hundred ninety-six thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 185 222 225 333 370 450 555 666 925 1110 1201 1665 1850 2402 2775 3330 3603 5550 6005 7206 8325 10809 12010 16650 18015 21618 30025 36030 44437 54045 60050 88874 90075 108090 133311 180150 222185 266622 270225 399933 444370 540450 666555 799866 1110925 1333110 1999665 2221850 3332775 3999330 6665550 9998325 19996650