Search a number
-
+
70968640 = 265463479
BaseRepresentation
bin1000011101011…
…10010101000000
311221112120200011
410032232111000
5121131444030
611013034304
71521136441
oct416562500
9157476604
1070968640
1137072876
121b925994
131191a6a2
1495d52c8
15636cb2a
hex43ae540

70968640 has 56 divisors (see below), whose sum is σ = 169712640. Its totient is φ = 28267008.

The previous prime is 70968631. The next prime is 70968661. The reversal of 70968640 is 4686907.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 70968593 and 70968602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147921 + ... + 148399.

Almost surely, 270968640 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 70968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84856320).

70968640 is an abundant number, since it is smaller than the sum of its proper divisors (98744000).

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

70968640 is a wasteful number, since it uses less digits than its factorization.

70968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 70968640 is about 8424.2886940085. The cubic root of 70968640 is about 414.0208006850.

The spelling of 70968640 in words is "seventy million, nine hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 463 479 926 958 1852 1916 2315 2395 3704 3832 4630 4790 7408 7664 9260 9580 14816 15328 18520 19160 29632 30656 37040 38320 74080 76640 148160 153280 221777 443554 887108 1108885 1774216 2217770 3548432 4435540 7096864 8871080 14193728 17742160 35484320 70968640