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6255144 = 233472197
BaseRepresentation
bin10111110111001000101000
3102202210110000
4113313020220
53100131034
6342023000
7104111400
oct27671050
912683400
106255144
113592645
122117a60
1313b018c
14b8b800
15838599
hex5f7228

6255144 has 120 divisors (see below), whose sum is σ = 20484090. Its totient is φ = 1778112.

The previous prime is 6255071. The next prime is 6255157. The reversal of 6255144 is 4415526.

6255144 = T147 + T148 + ... + T343.

6255144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3572100 + 2683044 = 1890^2 + 1638^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31654 + ... + 31850.

Almost surely, 26255144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6255144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10242045).

6255144 is an abundant number, since it is smaller than the sum of its proper divisors (14228946).

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

6255144 is a wasteful number, since it uses less digits than its factorization.

6255144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 6255144 is about 2501.0285884012. The cubic root of 6255144 is about 184.2520961623.

The spelling of 6255144 in words is "six million, two hundred fifty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 197 216 252 294 324 378 392 394 441 504 567 588 591 648 756 788 882 1134 1176 1182 1323 1379 1512 1576 1764 1773 2268 2364 2646 2758 3528 3546 3969 4137 4536 4728 5292 5319 5516 7092 7938 8274 9653 10584 10638 11032 12411 14184 15876 15957 16548 19306 21276 24822 28959 31752 31914 33096 37233 38612 42552 49644 57918 63828 74466 77224 86877 99288 111699 115836 127656 148932 173754 223398 231672 260631 297864 347508 446796 521262 695016 781893 893592 1042524 1563786 2085048 3127572 6255144