Search a number
-
+
989472760 = 2351710114407
BaseRepresentation
bin111010111110100…
…010011111111000
32112221212102110021
4322332202133320
54011301112020
6242103500224
733343244143
oct7276423770
92487772407
10989472760
11468593591
12237457674
13129cc2653
14955ab05a
155bd021aa
hex3afa27f8

989472760 has 64 divisors (see below), whose sum is σ = 2380777920. Its totient is φ = 368793600.

The previous prime is 989472739. The next prime is 989472769. The reversal of 989472760 is 67274989.

It is a junction number, because it is equal to n+sod(n) for n = 989472698 and 989472707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989472769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61477 + ... + 75883.

It is an arithmetic number, because the mean of its divisors is an integer number (37199655).

Almost surely, 2989472760 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 989472760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190388960).

989472760 is an abundant number, since it is smaller than the sum of its proper divisors (1391305160).

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

989472760 is a wasteful number, since it uses less digits than its factorization.

989472760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14536 (or 14532 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The square root of 989472760 is about 31455.8859357037. The cubic root of 989472760 is about 996.4785338323.

The spelling of 989472760 in words is "nine hundred eighty-nine million, four hundred seventy-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 101 136 170 202 340 404 505 680 808 1010 1717 2020 3434 4040 6868 8585 13736 14407 17170 28814 34340 57628 68680 72035 115256 144070 244919 288140 489838 576280 979676 1224595 1455107 1959352 2449190 2910214 4898380 5820428 7275535 9796760 11640856 14551070 24736819 29102140 49473638 58204280 98947276 123684095 197894552 247368190 494736380 989472760