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70083900 = 223352101257
BaseRepresentation
bin1000010110101…
…10010100111100
311212212122001000
410023112110330
5120420141100
610542050300
71510463145
oct413262474
9155778030
1070083900
1136619087
121b579990
131169aa83
149444acc
156245900
hex42d653c

70083900 has 144 divisors (see below), whose sum is σ = 228422880. Its totient is φ = 18432000.

The previous prime is 70083899. The next prime is 70083907. The reversal of 70083900 is 938007.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70083907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272572 + ... + 272828.

It is an arithmetic number, because the mean of its divisors is an integer number (1586270).

Almost surely, 270083900 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 70083900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114211440).

70083900 is an abundant number, since it is smaller than the sum of its proper divisors (158338980).

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

70083900 is a wasteful number, since it uses less digits than its factorization.

70083900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 70083900 is about 8371.6127478521. The cubic root of 70083900 is about 412.2931194013.

The spelling of 70083900 in words is "seventy million, eighty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 101 108 135 150 180 202 225 257 270 300 303 404 450 505 514 540 606 675 771 900 909 1010 1028 1212 1285 1350 1515 1542 1818 2020 2313 2525 2570 2700 2727 3030 3084 3636 3855 4545 4626 5050 5140 5454 6060 6425 6939 7575 7710 9090 9252 10100 10908 11565 12850 13635 13878 15150 15420 18180 19275 22725 23130 25700 25957 27270 27756 30300 34695 38550 45450 46260 51914 54540 57825 68175 69390 77100 77871 90900 103828 115650 129785 136350 138780 155742 173475 231300 233613 259570 272700 311484 346950 389355 467226 519140 648925 693900 700839 778710 934452 1168065 1297850 1401678 1557420 1946775 2336130 2595700 2803356 3504195 3893550 4672260 5840325 7008390 7787100 11680650 14016780 17520975 23361300 35041950 70083900