Search a number
-
+
190519616 = 2671632609
BaseRepresentation
bin10110101101100…
…01100101000000
3111021111101210002
423112301211000
5342233111431
630523255132
74502250530
oct1326614500
9437441702
10190519616
11985a8231
125397a4a8
1330618101
141b4354c0
1511ad53cb
hexb5b1940

190519616 has 56 divisors (see below), whose sum is σ = 434888640. Its totient is φ = 81119232.

The previous prime is 190519613. The next prime is 190519619. The reversal of 190519616 is 616915091.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (190519613) and next prime (190519619).

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 190519616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190519613) 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, 71720 + ... + 74328.

Almost surely, 2190519616 is an apocalyptic number.

190519616 is a gapful number since it is divisible by the number (16) 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 190519616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217444320).

190519616 is an abundant number, since it is smaller than the sum of its proper divisors (244369024).

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

190519616 is a wasteful number, since it uses less digits than its factorization.

190519616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 38.

The square root of 190519616 is about 13802.8843362538. The cubic root of 190519616 is about 575.4133043620.

The spelling of 190519616 in words is "one hundred ninety million, five hundred nineteen thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 163 224 326 448 652 1141 1304 2282 2608 2609 4564 5216 5218 9128 10432 10436 18256 18263 20872 36512 36526 41744 73024 73052 83488 146104 166976 292208 425267 584416 850534 1168832 1701068 2976869 3402136 5953738 6804272 11907476 13608544 23814952 27217088 47629904 95259808 190519616