Search a number
-
+
19370484 = 22327279139
BaseRepresentation
bin100100111100…
…1000111110100
31100110010022100
41021321013310
514424323414
61531102100
7323434500
oct111710764
940403270
1019370484
11aa30371
1265a1930
134022a33
142803300
151a79609
hex12791f4

19370484 has 108 divisors (see below), whose sum is σ = 58094400. Its totient is φ = 5425056.

The previous prime is 19370473. The next prime is 19370509. The reversal of 19370484 is 48407391.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 139287 + ... + 139425.

Almost surely, 219370484 is an apocalyptic number.

19370484 is a gapful number since it is divisible by the number (14) 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 19370484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29047200).

19370484 is an abundant number, since it is smaller than the sum of its proper divisors (38723916).

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

19370484 is a wasteful number, since it uses less digits than its factorization.

19370484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 19370484 is about 4401.1912023906. The cubic root of 19370484 is about 268.5633985721.

The spelling of 19370484 in words is "nineteen million, three hundred seventy thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 79 84 98 126 139 147 158 196 237 252 278 294 316 417 441 474 553 556 588 711 834 882 948 973 1106 1251 1422 1659 1668 1764 1946 2212 2502 2844 2919 3318 3871 3892 4977 5004 5838 6636 6811 7742 8757 9954 10981 11613 11676 13622 15484 17514 19908 20433 21962 23226 27244 32943 34839 35028 40866 43924 46452 61299 65886 69678 76867 81732 98829 122598 131772 139356 153734 197658 230601 245196 307468 395316 461202 538069 691803 922404 1076138 1383606 1614207 2152276 2767212 3228414 4842621 6456828 9685242 19370484