Search a number
-
+
19904472 = 2332773541
BaseRepresentation
bin100101111101…
…1011111011000
31101110020210200
41023323133120
520043420342
61550342200
7331120350
oct113733730
941406720
1019904472
1110265585
1267ba960
13417bac3
142901b60
151b3294c
hex12fb7d8

19904472 has 96 divisors (see below), whose sum is σ = 62568480. Its totient is φ = 5598720.

The previous prime is 19904471. The next prime is 19904473. The reversal of 19904472 is 27440991.

It is an interprime number because it is at equal distance from previous prime (19904471) and next prime (19904473).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19904471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36522 + ... + 37062.

It is an arithmetic number, because the mean of its divisors is an integer number (651755).

Almost surely, 219904472 is an apocalyptic number.

19904472 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 19904472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31284240).

19904472 is an abundant number, since it is smaller than the sum of its proper divisors (42664008).

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

19904472 is a wasteful number, since it uses less digits than its factorization.

19904472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 19904472 is about 4461.4428159509. The cubic root of 19904472 is about 271.0089002764.

The spelling of 19904472 in words is "nineteen million, nine hundred four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 73 84 126 146 168 219 252 292 438 504 511 541 584 657 876 1022 1082 1314 1533 1623 1752 2044 2164 2628 3066 3246 3787 4088 4328 4599 4869 5256 6132 6492 7574 9198 9738 11361 12264 12984 15148 18396 19476 22722 30296 34083 36792 38952 39493 45444 68166 78986 90888 118479 136332 157972 236958 272664 276451 315944 355437 473916 552902 710874 829353 947832 1105804 1421748 1658706 2211608 2488059 2843496 3317412 4976118 6634824 9952236 19904472