Search a number
-
+
2070371250 = 23254732521
BaseRepresentation
bin111101101100111…
…0101101110110010
312100021202202102200
41323121311232302
513220003340000
6541235124030
7102206602533
oct17331655662
95307682380
102070371250
11972741622
12499443616
1326cc15b5c
14158d7668a
15c1b63500
hex7b675bb2

2070371250 has 120 divisors (see below), whose sum is σ = 5684502252. Its totient is φ = 544320000.

The previous prime is 2070371213. The next prime is 2070371257. The reversal of 2070371250 is 521730702.

2070371250 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 715616001 + 1354755249 = 26751^2 + 36807^2 .

It is a super-2 number, since 2×20703712502 = 8572874225653125000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2070371257) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 819990 + ... + 822510.

Almost surely, 22070371250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2070371250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842251126).

2070371250 is an abundant number, since it is smaller than the sum of its proper divisors (3614131002).

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

2070371250 is a wasteful number, since it uses less digits than its factorization.

2070371250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 2070371250 is about 45501.3323980738. The cubic root of 2070371250 is about 1274.5280837131.

The spelling of 2070371250 in words is "two billion, seventy million, three hundred seventy-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 73 75 90 125 146 150 219 225 250 365 375 438 450 625 657 730 750 1095 1125 1250 1314 1825 1875 2190 2250 2521 3285 3650 3750 5042 5475 5625 6570 7563 9125 10950 11250 12605 15126 16425 18250 22689 25210 27375 32850 37815 45378 45625 54750 63025 75630 82125 91250 113445 126050 136875 164250 184033 189075 226890 273750 315125 368066 378150 410625 552099 567225 630250 821250 920165 945375 1104198 1134450 1575625 1656297 1840330 1890750 2760495 2836125 3151250 3312594 4600825 4726875 5520990 5672250 8281485 9201650 9453750 13802475 14180625 16562970 23004125 27604950 28361250 41407425 46008250 69012375 82814850 115020625 138024750 207037125 230041250 345061875 414074250 690123750 1035185625 2070371250