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5614574240 = 255112793671
BaseRepresentation
bin1010011101010011…
…11001101010100000
3112111021210220221002
411032221321222200
542444312333430
62325043451132
7256064044052
oct51651715240
915437726832
105614574240
11242130a800
121108386aa8
136b628b0a2
143b395d8d2
1522cda2845
hex14ea79aa0

5614574240 has 144 divisors (see below), whose sum is σ = 14768490240. Its totient is φ = 2015270400.

The previous prime is 5614574237. The next prime is 5614574243. The reversal of 5614574240 is 424754165.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5614574237) and next prime (5614574243).

It is a junction number, because it is equal to n+sod(n) for n = 5614574194 and 5614574203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5614574243) 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, 1527605 + ... + 1531275.

It is an arithmetic number, because the mean of its divisors is an integer number (102558960).

Almost surely, 25614574240 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 5614574240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384245120).

5614574240 is an abundant number, since it is smaller than the sum of its proper divisors (9153916000).

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

5614574240 is a wasteful number, since it uses less digits than its factorization.

5614574240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3787 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 38.

The square root of 5614574240 is about 74930.4626970900. The cubic root of 5614574240 is about 1777.3472077864.

The spelling of 5614574240 in words is "five billion, six hundred fourteen million, five hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 79 80 88 110 121 158 160 176 220 242 316 352 395 440 484 605 632 790 869 880 968 1210 1264 1580 1738 1760 1936 2420 2528 3160 3476 3671 3872 4345 4840 6320 6952 7342 8690 9559 9680 12640 13904 14684 17380 18355 19118 19360 27808 29368 34760 36710 38236 40381 47795 58736 69520 73420 76472 80762 95590 117472 139040 146840 152944 161524 191180 201905 290009 293680 305888 323048 382360 403810 444191 580018 587360 646096 764720 807620 888382 1160036 1292192 1450045 1529440 1615240 1776764 2220955 2320072 2900090 3190099 3230480 3553528 4441910 4640144 5800180 6380198 6460960 7107056 8883820 9280288 11600360 12760396 14214112 15950495 17767640 23200720 25520792 31900990 35091089 35535280 46401440 51041584 63801980 70182178 71070560 102083168 127603960 140364356 175455445 255207920 280728712 350910890 510415840 561457424 701821780 1122914848 1403643560 2807287120 5614574240