Search a number
-
+
70985400 = 23352193613
BaseRepresentation
bin1000011101100…
…10011010111000
311221120102122220
410032302122320
5121133013100
611013244040
71521236343
oct416623270
9157512586
1070985400
1137084422
121b933620
13119251c5
1495db45a
156372aa0
hex43b26b8

70985400 has 96 divisors (see below), whose sum is σ = 221555760. Its totient is φ = 18800640.

The previous prime is 70985399. The next prime is 70985407. The reversal of 70985400 is 458907.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70985407) 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 23 ways as a sum of consecutive naturals, for example, 115494 + ... + 116106.

Almost surely, 270985400 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 70985400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110777880).

70985400 is an abundant number, since it is smaller than the sum of its proper divisors (150570360).

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

70985400 is a wasteful number, since it uses less digits than its factorization.

70985400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 70985400 is about 8425.2833780236. The cubic root of 70985400 is about 414.0533899265.

The spelling of 70985400 in words is "seventy million, nine hundred eighty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 193 200 300 386 579 600 613 772 965 1158 1226 1544 1839 1930 2316 2452 2895 3065 3678 3860 4632 4825 4904 5790 6130 7356 7720 9195 9650 11580 12260 14475 14712 15325 18390 19300 23160 24520 28950 30650 36780 38600 45975 57900 61300 73560 91950 115800 118309 122600 183900 236618 354927 367800 473236 591545 709854 946472 1183090 1419708 1774635 2366180 2839416 2957725 3549270 4732360 5915450 7098540 8873175 11830900 14197080 17746350 23661800 35492700 70985400