Search a number
-
+
19193340 = 22351731607
BaseRepresentation
bin100100100110…
…1110111111100
31100010010022110
41021031313330
514403141330
61523214020
7322066155
oct111156774
940103273
1019193340
11a91a271
126517310
133c9020a
14279892c
151a41db0
hex124ddfc

19193340 has 96 divisors (see below), whose sum is σ = 58834944. Its totient is φ = 4654080.

The previous prime is 19193327. The next prime is 19193341. The reversal of 19193340 is 4339191.

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

It is a junction number, because it is equal to n+sod(n) for n = 19193298 and 19193307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19193341) 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, 31317 + ... + 31923.

It is an arithmetic number, because the mean of its divisors is an integer number (612864).

Almost surely, 219193340 is an apocalyptic number.

19193340 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 19193340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29417472).

19193340 is an abundant number, since it is smaller than the sum of its proper divisors (39641604).

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

19193340 is a wasteful number, since it uses less digits than its factorization.

19193340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 19193340 is about 4381.0204290781. The cubic root of 19193340 is about 267.7422151783.

The spelling of 19193340 in words is "nineteen million, one hundred ninety-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 607 620 930 1020 1054 1214 1581 1821 1860 2108 2428 2635 3035 3162 3642 5270 6070 6324 7284 7905 9105 10319 10540 12140 15810 18210 18817 20638 30957 31620 36420 37634 41276 51595 56451 61914 75268 94085 103190 112902 123828 154785 188170 206380 225804 282255 309570 319889 376340 564510 619140 639778 959667 1129020 1279556 1599445 1919334 3198890 3838668 4798335 6397780 9596670 19193340