Search a number
-
+
10770730056 = 2337837417
BaseRepresentation
bin10100000011111110…
…00100110001001000
31000210122000210000000
422001333010301020
5134024301330211
64540434043000
7530623460232
oct120177046110
930718023000
1010770730056
1146278839a9
122107119460
131028592768
1474266d252
154308a2656
hex281fc4c48

10770730056 has 128 divisors (see below), whose sum is σ = 30657110400. Its totient is φ = 3546509184.

The previous prime is 10770730049. The next prime is 10770730057. The reversal of 10770730056 is 65003707701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10770730056.

It is not an unprimeable number, because it can be changed into a prime (10770730057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1448460 + ... + 1455876.

It is an arithmetic number, because the mean of its divisors is an integer number (239508675).

Almost surely, 210770730056 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 10770730056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15328555200).

10770730056 is an abundant number, since it is smaller than the sum of its proper divisors (19886380344).

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

10770730056 is an frugal number, since it uses more digits than its factorization.

10770730056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7527 (or 7505 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The spelling of 10770730056 in words is "ten billion, seven hundred seventy million, seven hundred thirty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 162 166 216 243 249 324 332 486 498 648 664 729 747 972 996 1458 1494 1944 1992 2187 2241 2916 2988 4374 4482 5832 5976 6723 7417 8748 8964 13446 14834 17496 17928 20169 22251 26892 29668 40338 44502 53784 59336 60507 66753 80676 89004 121014 133506 161352 178008 181521 200259 242028 267012 363042 400518 484056 534024 600777 615611 726084 801036 1201554 1231222 1452168 1602072 1802331 1846833 2403108 2462444 3604662 3693666 4806216 4924888 5406993 5540499 7209324 7387332 10813986 11080998 14418648 14774664 16220979 16621497 21627972 22161996 32441958 33242994 43255944 44323992 49864491 64883916 66485988 99728982 129767832 132971976 149593473 199457964 299186946 398915928 448780419 598373892 897560838 1196747784 1346341257 1795121676 2692682514 3590243352 5385365028 10770730056