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2070570040 = 2357115471229
BaseRepresentation
bin111101101101010…
…0110010000111000
312100022010212010021
41323122212100320
513220031220130
6541243300224
7102211361230
oct17332462070
95308125107
102070570040
11972867a10
1249951a674
1326cc85496
14158dc8cc0
15c1ba237a
hex7b6a6438

2070570040 has 128 divisors (see below), whose sum is σ = 5823705600. Its totient is φ = 643668480.

The previous prime is 2070570037. The next prime is 2070570053. The reversal of 2070570040 is 400750702.

It is a junction number, because it is equal to n+sod(n) for n = 2070569987 and 2070570014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1684146 + ... + 1685374.

It is an arithmetic number, because the mean of its divisors is an integer number (45497700).

Almost surely, 22070570040 is an apocalyptic number.

2070570040 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 2070570040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911852800).

2070570040 is an abundant number, since it is smaller than the sum of its proper divisors (3753135560).

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

2070570040 is a wasteful number, since it uses less digits than its factorization.

2070570040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 2070570040 is about 45503.5167871671. The cubic root of 2070570040 is about 1274.5688743570.

The spelling of 2070570040 in words is "two billion, seventy million, five hundred seventy thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 547 616 770 1094 1229 1540 2188 2458 2735 3080 3829 4376 4916 5470 6017 6145 7658 8603 9832 10940 12034 12290 13519 15316 17206 19145 21880 24068 24580 27038 30085 30632 34412 38290 42119 43015 48136 49160 54076 60170 67595 68824 76580 84238 86030 94633 108152 120340 135190 153160 168476 172060 189266 210595 240680 270380 336952 344120 378532 421190 473165 540760 672263 757064 842380 946330 1344526 1684760 1892660 2689052 3361315 3785320 4705841 5378104 6722630 7394893 9411682 13445260 14789786 18823364 23529205 26890520 29579572 36974465 37646728 47058410 51764251 59159144 73948930 94116820 103528502 147897860 188233640 207057004 258821255 295795720 414114008 517642510 1035285020 2070570040