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19029072 = 243616797
BaseRepresentation
bin100100010010…
…1110001010000
31022210202222110
41020211301100
514332412242
61515505320
7320513226
oct110456120
938722873
1019029072
11a817907
126458240
133c3350a
142754b16
151a0d39c
hex1225c50

19029072 has 80 divisors (see below), whose sum is σ = 51232832. Its totient is φ = 6082560.

The previous prime is 19029061. The next prime is 19029077. The reversal of 19029072 is 27092091.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19029077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196128 + ... + 196224.

Almost surely, 219029072 is an apocalyptic number.

19029072 is a gapful number since it is divisible by the number (12) 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 19029072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25616416).

19029072 is an abundant number, since it is smaller than the sum of its proper divisors (32203760).

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

19029072 is a wasteful number, since it uses less digits than its factorization.

19029072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 19029072 is about 4362.2324559794. The cubic root of 19029072 is about 266.9761933634.

The spelling of 19029072 in words is "nineteen million, twenty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 67 97 122 134 183 194 201 244 268 291 366 388 402 488 536 582 732 776 804 976 1072 1164 1464 1552 1608 2328 2928 3216 4087 4656 5917 6499 8174 11834 12261 12998 16348 17751 19497 23668 24522 25996 32696 35502 38994 47336 49044 51992 65392 71004 77988 94672 98088 103984 142008 155976 196176 284016 311952 396439 792878 1189317 1585756 2378634 3171512 4757268 6343024 9514536 19029072