Search a number
-
+
1219890 = 235737157
BaseRepresentation
bin100101001110100110010
32021222101010
410221310302
5303014030
642051350
713240350
oct4516462
92258333
101219890
11763581
124a9b56
13339339
1423a7d0
151916b0
hex129d32

1219890 has 64 divisors (see below), whose sum is σ = 3458304. Its totient is φ = 269568.

The previous prime is 1219879. The next prime is 1219891. The reversal of 1219890 is 989121.

It is a super-2 number, since 2×12198902 = 2976263224200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1219891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7692 + ... + 7848.

It is an arithmetic number, because the mean of its divisors is an integer number (54036).

21219890 is an apocalyptic number.

1219890 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 1219890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729152).

1219890 is an abundant number, since it is smaller than the sum of its proper divisors (2238414).

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

1219890 is a wasteful number, since it uses less digits than its factorization.

1219890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211.

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 1219890 is about 1104.4863059359. The cubic root of 1219890 is about 106.8497614902.

It can be divided in two parts, 121 and 9890, that added together give a triangular number (10011 = T141).

The spelling of 1219890 in words is "one million, two hundred nineteen thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 157 185 210 222 259 314 370 471 518 555 777 785 942 1099 1110 1295 1554 1570 2198 2355 2590 3297 3885 4710 5495 5809 6594 7770 10990 11618 16485 17427 29045 32970 34854 40663 58090 81326 87135 121989 174270 203315 243978 406630 609945 1219890