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5061840 = 2435723131
BaseRepresentation
bin10011010011110011010000
3100112011112120
4103103303100
52243434330
6300254240
761011360
oct23236320
910464476
105061840
112948043
121841380
131082c94
1495a9a0
1569ec10
hex4d3cd0

5061840 has 160 divisors (see below), whose sum is σ = 18855936. Its totient is φ = 1098240.

The previous prime is 5061829. The next prime is 5061857. The reversal of 5061840 is 481605.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5061840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38575 + ... + 38705.

Almost surely, 25061840 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 5061840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9427968).

5061840 is an abundant number, since it is smaller than the sum of its proper divisors (13794096).

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

5061840 is a wasteful number, since it uses less digits than its factorization.

5061840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5061840 is about 2249.8533285528. The cubic root of 5061840 is about 171.6996742177.

It can be divided in two parts, 506 and 1840, that added together give a triangular number (2346 = T68).

The spelling of 5061840 in words is "five million, sixty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 131 138 140 161 168 184 210 230 240 262 276 280 322 336 345 368 393 420 460 483 524 552 560 644 655 690 786 805 840 917 920 966 1048 1104 1288 1310 1380 1572 1610 1680 1834 1840 1932 1965 2096 2415 2576 2620 2751 2760 3013 3144 3220 3668 3864 3930 4585 4830 5240 5502 5520 6026 6288 6440 7336 7728 7860 9039 9170 9660 10480 11004 12052 12880 13755 14672 15065 15720 18078 18340 19320 21091 22008 24104 27510 30130 31440 36156 36680 38640 42182 44016 45195 48208 55020 60260 63273 72312 73360 84364 90390 105455 110040 120520 126546 144624 168728 180780 210910 220080 241040 253092 316365 337456 361560 421820 506184 632730 723120 843640 1012368 1265460 1687280 2530920 5061840