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19114320 = 2435731091
BaseRepresentation
bin100100011101…
…0100101010000
31022222002220210
41020322211100
514343124240
61521404120
7321316611
oct110724520
938862823
1019114320
11a875965
126499640
133c63264
142777c08
151a28780
hex123a950

19114320 has 80 divisors (see below), whose sum is σ = 60121152. Its totient is φ = 5022720.

The previous prime is 19114309. The next prime is 19114327. The reversal of 19114320 is 2341191.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19114327) 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, 16975 + ... + 18065.

Almost surely, 219114320 is an apocalyptic number.

19114320 is a gapful number since it is divisible by the number (10) 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 19114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30060576).

19114320 is an abundant number, since it is smaller than the sum of its proper divisors (41006832).

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

19114320 is a wasteful number, since it uses less digits than its factorization.

19114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 19114320 is about 4371.9926806892. The cubic root of 19114320 is about 267.3742734643.

The spelling of 19114320 in words is "nineteen million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1091 1095 1168 1460 1752 2182 2190 2920 3273 3504 4364 4380 5455 5840 6546 8728 8760 10910 13092 16365 17456 17520 21820 26184 32730 43640 52368 65460 79643 87280 130920 159286 238929 261840 318572 398215 477858 637144 796430 955716 1194645 1274288 1592860 1911432 2389290 3185720 3822864 4778580 6371440 9557160 19114320