Search a number
-
+
19991712 = 2531383193
BaseRepresentation
bin100110001000…
…0110010100000
31101121200110210
41030100302200
520104213322
61552254120
7331632606
oct114206240
941550423
1019991712
1110315084
126841340
1341ac720
142925876
151b4d70c
hex1310ca0

19991712 has 96 divisors (see below), whose sum is σ = 57492288. Its totient is φ = 6045696.

The previous prime is 19991651. The next prime is 19991717. The reversal of 19991712 is 21719991.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (19991717) 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, 103488 + ... + 103680.

It is an arithmetic number, because the mean of its divisors is an integer number (598878).

Almost surely, 219991712 is an apocalyptic number.

19991712 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 19991712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28746144).

19991712 is an abundant number, since it is smaller than the sum of its proper divisors (37500576).

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

19991712 is a wasteful number, since it uses less digits than its factorization.

19991712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its digits is 10206, while the sum is 39.

The square root of 19991712 is about 4471.2092324113. The cubic root of 19991712 is about 271.4042613236.

The spelling of 19991712 in words is "nineteen million, nine hundred ninety-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 83 96 104 156 166 193 208 249 312 332 386 416 498 579 624 664 772 996 1079 1158 1248 1328 1544 1992 2158 2316 2509 2656 3088 3237 3984 4316 4632 5018 6176 6474 7527 7968 8632 9264 10036 12948 15054 16019 17264 18528 20072 25896 30108 32038 34528 40144 48057 51792 60216 64076 80288 96114 103584 120432 128152 192228 208247 240864 256304 384456 416494 512608 624741 768912 832988 1249482 1537824 1665976 2498964 3331952 4997928 6663904 9995856 19991712