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13045248 = 293219149
BaseRepresentation
bin110001110000…
…111000000000
3220112202201100
4301300320000
511314421443
61143334400
7215611536
oct61607000
926482640
1013045248
1174000a7
124451400
1329199a8
141a38156
15122a3d3
hexc70e00

13045248 has 120 divisors (see below), whose sum is σ = 39897000. Its totient is φ = 4091904.

The previous prime is 13045247. The next prime is 13045283. The reversal of 13045248 is 84254031.

13045248 is a `hidden beast` number, since 130 + 4 + 524 + 8 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13045247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87478 + ... + 87626.

It is an arithmetic number, because the mean of its divisors is an integer number (332475).

Almost surely, 213045248 is an apocalyptic number.

13045248 is a gapful number since it is divisible by the number (18) 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 13045248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19948500).

13045248 is an abundant number, since it is smaller than the sum of its proper divisors (26851752).

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

13045248 is a wasteful number, since it uses less digits than its factorization.

13045248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 13045248 is about 3611.8205935511. The cubic root of 13045248 is about 235.4059559315.

Adding to 13045248 its reverse (84254031), we get a palindrome (97299279).

The spelling of 13045248 in words is "thirteen million, forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 149 152 171 192 228 256 288 298 304 342 384 447 456 512 576 596 608 684 768 894 912 1152 1192 1216 1341 1368 1536 1788 1824 2304 2384 2432 2682 2736 2831 3576 3648 4608 4768 4864 5364 5472 5662 7152 7296 8493 9536 9728 10728 10944 11324 14304 14592 16986 19072 21456 21888 22648 25479 28608 29184 33972 38144 42912 43776 45296 50958 57216 67944 76288 85824 87552 90592 101916 114432 135888 171648 181184 203832 228864 271776 343296 362368 407664 543552 686592 724736 815328 1087104 1449472 1630656 2174208 3261312 4348416 6522624 13045248