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5630784720 = 2435113376329
BaseRepresentation
bin1010011111001111…
…01111010011010000
3112112102022111112020
411033213233103100
543012440102340
62330423131440
7256351610661
oct51747572320
915472274466
105630784720
11242a4819a0
1211118a3b80
136b97456a2
143b5b7d368
1522e5059d0
hex14f9ef4d0

5630784720 has 160 divisors (see below), whose sum is σ = 19101813120. Its totient is φ = 1360773120.

The previous prime is 5630784707. The next prime is 5630784763. The reversal of 5630784720 is 274870365.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 886516 + ... + 892844.

It is an arithmetic number, because the mean of its divisors is an integer number (119386332).

Almost surely, 25630784720 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 5630784720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9550906560).

5630784720 is an abundant number, since it is smaller than the sum of its proper divisors (13471028400).

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

5630784720 is a wasteful number, since it uses less digits than its factorization.

5630784720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6693 (or 6687 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 5630784720 is about 75038.5548901363. The cubic root of 5630784720 is about 1779.0560917287.

The spelling of 5630784720 in words is "five billion, six hundred thirty million, seven hundred eighty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 337 440 528 660 674 880 1011 1320 1348 1685 2022 2640 2696 3370 3707 4044 5055 5392 6329 6740 7414 8088 10110 11121 12658 13480 14828 16176 18535 18987 20220 22242 25316 26960 29656 31645 37070 37974 40440 44484 50632 55605 59312 63290 69619 74140 75948 80880 88968 94935 101264 111210 126580 139238 148280 151896 177936 189870 208857 222420 253160 278476 296560 303792 348095 379740 417714 444840 506320 556952 696190 759480 835428 889680 1044285 1113904 1392380 1518960 1670856 2088570 2132873 2784760 3341712 4177140 4265746 5569520 6398619 8354280 8531492 10664365 12797238 16708560 17062984 21328730 23461603 25594476 31993095 34125968 42657460 46923206 51188952 63986190 70384809 85314920 93846412 102377904 117308015 127972380 140769618 170629840 187692824 234616030 255944760 281539236 351924045 375385648 469232060 511889520 563078472 703848090 938464120 1126156944 1407696180 1876928240 2815392360 5630784720