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2070137840 = 245313072719
BaseRepresentation
bin111101101100011…
…1100101111110000
312100021022220020212
41323120330233300
513214423402330
6541230123252
7102204611201
oct17330745760
95307286225
102070137840
119725a2221
12499350528
1326cb63844
14158d155a8
15c1b19295
hex7b63cbf0

2070137840 has 80 divisors (see below), whose sum is σ = 4986347520. Its totient is φ = 798439680.

The previous prime is 2070137813. The next prime is 2070137843. The reversal of 2070137840 is 487310702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2070137797 and 2070137806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2070137843) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 760001 + ... + 762719.

It is an arithmetic number, because the mean of its divisors is an integer number (62329344).

Almost surely, 22070137840 is an apocalyptic number.

2070137840 is a gapful number since it is divisible by the number (20) 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 2070137840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493173760).

2070137840 is an abundant number, since it is smaller than the sum of its proper divisors (2916209680).

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

2070137840 is a wasteful number, since it uses less digits than its factorization.

2070137840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 2070137840 is about 45498.7674558334. The cubic root of 2070137840 is about 1274.4801858977.

The spelling of 2070137840 in words is "two billion, seventy million, one hundred thirty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 307 310 496 614 620 1228 1240 1535 2456 2480 2719 3070 4912 5438 6140 9517 10876 12280 13595 19034 21752 24560 27190 38068 43504 47585 54380 76136 84289 95170 108760 152272 168578 190340 217520 337156 380680 421445 674312 761360 834733 842890 1348624 1669466 1685780 3338932 3371560 4173665 6677864 6743120 8347330 13355728 16694660 25876723 33389320 51753446 66778640 103506892 129383615 207013784 258767230 414027568 517534460 1035068920 2070137840