Search a number
-
+
19831152 = 2431123271
BaseRepresentation
bin100101110100…
…1100101110000
31101022112020010
41023221211300
520034044102
61545014520
7330363525
oct113514560
941275203
1019831152
1110215490
126784440
134154613
1428c314c
151b1ad6c
hex12e9970

19831152 has 120 divisors (see below), whose sum is σ = 59246208. Its totient is φ = 5667200.

The previous prime is 19831121. The next prime is 19831153. The reversal of 19831152 is 25113891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19831153) 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, 279277 + ... + 279347.

Almost surely, 219831152 is an apocalyptic number.

19831152 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 19831152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29623104).

19831152 is an abundant number, since it is smaller than the sum of its proper divisors (39415056).

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

19831152 is a wasteful number, since it uses less digits than its factorization.

19831152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 110 counting only the distinct ones).

The product of its digits is 2160, while the sum is 30.

The square root of 19831152 is about 4453.2181621834. The cubic root of 19831152 is about 270.6757285692.

The spelling of 19831152 in words is "nineteen million, eight hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 71 88 92 132 138 142 176 184 213 253 264 276 284 368 426 506 528 529 552 568 759 781 852 1012 1058 1104 1136 1518 1562 1587 1633 1704 2024 2116 2343 3036 3124 3174 3266 3408 4048 4232 4686 4899 5819 6072 6248 6348 6532 8464 9372 9798 11638 12144 12496 12696 13064 17457 17963 18744 19596 23276 25392 26128 34914 35926 37488 37559 39192 46552 53889 69828 71852 75118 78384 93104 107778 112677 139656 143704 150236 215556 225354 279312 287408 300472 413149 431112 450708 600944 826298 862224 901416 1239447 1652596 1802832 2478894 3305192 4957788 6610384 9915576 19831152