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68550480 = 24325195011
BaseRepresentation
bin1000001010111…
…11111101010000
311202222201120200
410011133331100
5120022103410
610445135200
71461445425
oct405377520
9152881520
1068550480
1135770a99
121ab5a500
1311281b1b
149165d4c
1560413c0
hex415ff50

68550480 has 120 divisors (see below), whose sum is σ = 242380320. Its totient is φ = 17314560.

The previous prime is 68550467. The next prime is 68550481. The reversal of 68550480 is 8405586.

It is a happy number.

68550480 is a `hidden beast` number, since 68 + 550 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68550481) 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, 11175 + ... + 16185.

It is an arithmetic number, because the mean of its divisors is an integer number (2019836).

Almost surely, 268550480 is an apocalyptic number.

68550480 is a gapful number since it is divisible by the number (60) 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 68550480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121190160).

68550480 is an abundant number, since it is smaller than the sum of its proper divisors (173829840).

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

68550480 is a wasteful number, since it uses less digits than its factorization.

68550480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5049 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 68550480 is about 8279.5217253172. The cubic root of 68550480 is about 409.2639580343.

It can be divided in two parts, 685504 and 80, that added together give a square (685584 = 8282).

The spelling of 68550480 in words is "sixty-eight million, five hundred fifty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 5011 6840 10022 13680 15033 20044 25055 30066 40088 45099 50110 60132 75165 80176 90198 95209 100220 120264 150330 180396 190418 200440 225495 240528 285627 300660 360792 380836 400880 450990 476045 571254 601320 721584 761672 856881 901980 952090 1142508 1202640 1428135 1523344 1713762 1803960 1904180 2285016 2856270 3427524 3607920 3808360 4284405 4570032 5712540 6855048 7616720 8568810 11425080 13710096 17137620 22850160 34275240 68550480