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2070487272 = 2337311792221
BaseRepresentation
bin111101101101001…
…0010000011101000
312100021222122120210
41323122102003220
513220021043042
6541241421120
7102210565020
oct17332220350
95307878523
102070487272
11972810807
1249949a7a0
1326cc568c9
14158da6a80
15c1b87a9c
hex7b6920e8

2070487272 has 128 divisors (see below), whose sum is σ = 6143385600. Its totient is φ = 569030400.

The previous prime is 2070487271. The next prime is 2070487283. The reversal of 2070487272 is 2727840702.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2070487272.

It is not an unprimeable number, because it can be changed into a prime (2070487271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 931122 + ... + 933342.

It is an arithmetic number, because the mean of its divisors is an integer number (47995200).

Almost surely, 22070487272 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 2070487272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071692800).

2070487272 is an abundant number, since it is smaller than the sum of its proper divisors (4072898328).

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

2070487272 is a wasteful number, since it uses less digits than its factorization.

2070487272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 39.

The square root of 2070487272 is about 45502.6073099114. The cubic root of 2070487272 is about 1274.5518911237.

The spelling of 2070487272 in words is "two billion, seventy million, four hundred eighty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 179 186 217 248 358 372 434 537 651 716 744 868 1074 1253 1302 1432 1736 2148 2221 2506 2604 3759 4296 4442 5012 5208 5549 6663 7518 8884 10024 11098 13326 15036 15547 16647 17768 22196 26652 30072 31094 33294 38843 44392 46641 53304 62188 66588 68851 77686 93282 116529 124376 133176 137702 155372 186564 206553 233058 275404 310744 373128 397559 413106 466116 481957 550808 795118 826212 932232 963914 1192677 1445871 1590236 1652424 1927828 2385354 2782913 2891742 3180472 3855656 4770708 5565826 5783484 8348739 9541416 11131652 11566968 12324329 16697478 22263304 24648658 33394956 36972987 49297316 66789912 73945974 86270303 98594632 147891948 172540606 258810909 295783896 345081212 517621818 690162424 1035243636 2070487272