[go: up one dir, main page]

Search a number
-
+
19190640 = 2435711423
BaseRepresentation
bin100100100110…
…1001101110000
31100002222121110
41021031031300
514403100030
61523153320
7322055250
oct111151560
940088543
1019190640
11a918237
126515840
133c8bc11
142797960
151a411b0
hex124d370

19190640 has 80 divisors (see below), whose sum is σ = 67995648. Its totient is φ = 4386048.

The previous prime is 19190629. The next prime is 19190641. The reversal of 19190640 is 4609191.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 19190598 and 19190607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19190641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4032 + ... + 7391.

Almost surely, 219190640 is an apocalyptic number.

19190640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19190640 is an abundant number, since it is smaller than the sum of its proper divisors (48805008).

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

19190640 is a wasteful number, since it uses less digits than its factorization.

19190640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11446 (or 11440 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 19190640 is about 4380.7122708528. The cubic root of 19190640 is about 267.7296598183.

The spelling of 19190640 in words is "nineteen million, one hundred ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 11423 22846 34269 45692 57115 68538 79961 91384 114230 137076 159922 171345 182768 228460 239883 274152 319844 342690 399805 456920 479766 548304 639688 685380 799610 913840 959532 1199415 1279376 1370760 1599220 1919064 2398830 2741520 3198440 3838128 4797660 6396880 9595320 19190640