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1075352480 = 25529474931
BaseRepresentation
bin100000000011000…
…1001001110100000
32202221110120021122
41000012021032200
54200242234410
6254412311412
735435226266
oct10006111640
92687416248
101075352480
11502010264
12260172568
13141a31057
14a2b64436
1564617e55
hex401893a0

1075352480 has 96 divisors (see below), whose sum is σ = 2684586240. Its totient is φ = 406389760.

The previous prime is 1075352449. The next prime is 1075352489. The reversal of 1075352480 is 842535701.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1075352480.

It is not an unprimeable number, because it can be changed into a prime (1075352489) 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, 215615 + ... + 220545.

It is an arithmetic number, because the mean of its divisors is an integer number (27964440).

Almost surely, 21075352480 is an apocalyptic number.

1075352480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1075352480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342293120).

1075352480 is an abundant number, since it is smaller than the sum of its proper divisors (1609233760).

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

1075352480 is a wasteful number, since it uses less digits than its factorization.

1075352480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 1075352480 is about 32792.5674505672. The cubic root of 1075352480 is about 1024.5117579526.

The spelling of 1075352480 in words is "one billion, seventy-five million, three hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 47 58 80 94 116 145 160 188 232 235 290 376 464 470 580 752 928 940 1160 1363 1504 1880 2320 2726 3760 4640 4931 5452 6815 7520 9862 10904 13630 19724 21808 24655 27260 39448 43616 49310 54520 78896 98620 109040 142999 157792 197240 218080 231757 285998 394480 463514 571996 714995 788960 927028 1143992 1158785 1429990 1854056 2287984 2317570 2859980 3708112 4575968 4635140 5719960 6720953 7416224 9270280 11439920 13441906 18540560 22879840 26883812 33604765 37081120 53767624 67209530 107535248 134419060 215070496 268838120 537676240 1075352480