Search a number
-
+
19373340 = 22357193239
BaseRepresentation
bin100100111100…
…1110100011100
31100110021020010
41021321310130
514424421330
61531123220
7323446020
oct111716434
940407203
1019373340
11aa32528
1265a3510
13402411c
142804380
151a7a3b0
hex1279d1c

19373340 has 96 divisors (see below), whose sum is σ = 62576640. Its totient is φ = 4386816.

The previous prime is 19373327. The next prime is 19373359. The reversal of 19373340 is 4337391.

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 = 19373298 and 19373307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80941 + ... + 81179.

It is an arithmetic number, because the mean of its divisors is an integer number (651840).

Almost surely, 219373340 is an apocalyptic number.

19373340 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 19373340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31288320).

19373340 is an abundant number, since it is smaller than the sum of its proper divisors (43203300).

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

19373340 is a wasteful number, since it uses less digits than its factorization.

19373340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 19373340 is about 4401.5156480467. The cubic root of 19373340 is about 268.5765969925.

The spelling of 19373340 in words is "nineteen million, three hundred seventy-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 193 210 239 386 420 478 579 717 772 956 965 1158 1195 1351 1434 1673 1930 2316 2390 2702 2868 2895 3346 3585 3860 4053 4780 5019 5404 5790 6692 6755 7170 8106 8365 10038 11580 13510 14340 16212 16730 20076 20265 25095 27020 33460 40530 46127 50190 81060 92254 100380 138381 184508 230635 276762 322889 461270 553524 645778 691905 922540 968667 1291556 1383810 1614445 1937334 2767620 3228890 3874668 4843335 6457780 9686670 19373340