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70112000 = 28537313
BaseRepresentation
bin1000010110111…
…01001100000000
311212221001120202
410023131030000
5120422041000
610542424332
71510641110
oct413351400
9155831522
1070112000
1136638202
121b5920a8
13116aa7ba
149451040
15624ddd5
hex42dd300

70112000 has 144 divisors (see below), whose sum is σ = 200246592. Its totient is φ = 23961600.

The previous prime is 70111991. The next prime is 70112011. The reversal of 70112000 is 21107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223844 + ... + 224156.

Almost surely, 270112000 is an apocalyptic number.

70112000 is a gapful number since it is divisible by the number (70) 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 70112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100123296).

70112000 is an abundant number, since it is smaller than the sum of its proper divisors (130134592).

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

70112000 is an equidigital number, since it uses as much as digits as its factorization.

70112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 70112000 is about 8373.2908703807. The cubic root of 70112000 is about 412.3482147399.

Adding to 70112000 its reverse (21107), we get a palindrome (70133107).

It can be divided in two parts, 70 and 112000, that multiplied together give a square (7840000 = 28002).

The spelling of 70112000 in words is "seventy million, one hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 256 280 313 320 350 400 448 500 560 626 640 700 800 875 896 1000 1120 1252 1280 1400 1565 1600 1750 1792 2000 2191 2240 2504 2800 3130 3200 3500 4000 4382 4480 5008 5600 6260 6400 7000 7825 8000 8764 8960 10016 10955 11200 12520 14000 15650 16000 17528 20032 21910 22400 25040 28000 31300 32000 35056 39125 40064 43820 44800 50080 54775 56000 62600 70112 78250 80128 87640 100160 109550 112000 125200 140224 156500 175280 200320 219100 224000 250400 273875 280448 313000 350560 400640 438200 500800 547750 560896 626000 701120 876400 1001600 1095500 1252000 1402240 1752800 2003200 2191000 2504000 2804480 3505600 4382000 5008000 7011200 8764000 10016000 14022400 17528000 35056000 70112000