Search a number
-
+
15450240 = 273513619
BaseRepresentation
bin111010111100…
…000010000000
31002001221202010
4322330002000
512423401430
61311052520
7245216301
oct72740200
932057663
1015450240
1187a2aa3
125211140
13327c570
1420a27a8
151552cb0
hexebc080

15450240 has 128 divisors (see below), whose sum is σ = 53121600. Its totient is φ = 3796992.

The previous prime is 15450233. The next prime is 15450241. The reversal of 15450240 is 4205451.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (15450241) 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, 24651 + ... + 25269.

Almost surely, 215450240 is an apocalyptic number.

15450240 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 15450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26560800).

15450240 is an abundant number, since it is smaller than the sum of its proper divisors (37671360).

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

15450240 is a wasteful number, since it uses less digits than its factorization.

15450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 15450240 is about 3930.6793305992. The cubic root of 15450240 is about 249.0644500188.

Adding to 15450240 its reverse (4205451), we get a palindrome (19655691).

The spelling of 15450240 in words is "fifteen million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 619 624 640 780 832 960 1040 1238 1248 1560 1664 1857 1920 2080 2476 2496 3095 3120 3714 4160 4952 4992 6190 6240 7428 8047 8320 9285 9904 12380 12480 14856 16094 18570 19808 24141 24760 24960 29712 32188 37140 39616 40235 48282 49520 59424 64376 74280 79232 80470 96564 99040 118848 120705 128752 148560 160940 193128 198080 237696 241410 257504 297120 321880 386256 396160 482820 515008 594240 643760 772512 965640 1030016 1188480 1287520 1545024 1931280 2575040 3090048 3862560 5150080 7725120 15450240