Search a number
-
+
70408000 = 265313677
BaseRepresentation
bin1000011001001…
…01011101000000
311220111002121201
410030211131000
5121011024000
610553030544
71513313065
oct414453500
9156432551
1070408000
113681a633
121b6b5454
1311782450
1494cac6c
1562ab96a
hex4325740

70408000 has 112 divisors (see below), whose sum is σ = 188055504. Its totient is φ = 25958400.

The previous prime is 70407983. The next prime is 70408001. The reversal of 70408000 is 80407.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13133376 + 57274624 = 3624^2 + 7568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70408001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103662 + ... + 104338.

It is an arithmetic number, because the mean of its divisors is an integer number (1679067).

Almost surely, 270408000 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 70408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94027752).

70408000 is an abundant number, since it is smaller than the sum of its proper divisors (117647504).

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

70408000 is a wasteful number, since it uses less digits than its factorization.

70408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 70408000 is about 8390.9475031131. The cubic root of 70408000 is about 412.9276861979.

Adding to 70408000 its reverse (80407), we get a palindrome (70488407).

The spelling of 70408000 in words is "seventy million, four hundred eight thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 650 677 800 832 1000 1040 1300 1354 1600 1625 2000 2080 2600 2708 3250 3385 4000 4160 5200 5416 6500 6770 8000 8801 10400 10832 13000 13540 16925 17602 20800 21664 26000 27080 33850 35204 43328 44005 52000 54160 67700 70408 84625 88010 104000 108320 135400 140816 169250 176020 216640 220025 270800 281632 338500 352040 440050 541600 563264 677000 704080 880100 1083200 1100125 1354000 1408160 1760200 2200250 2708000 2816320 3520400 4400500 5416000 7040800 8801000 14081600 17602000 35204000 70408000