Search a number
-
+
1090630944 = 253213377873
BaseRepresentation
bin100000100000001…
…1011010100100000
32211000012210101200
41001000123110200
54213200142234
6300120001200
736012132024
oct10100332440
92730183350
101090630944
1150a6a6197
12265300200
13144c50370
14a4bc0384
1565b34d99
hex4101b520

1090630944 has 144 divisors (see below), whose sum is σ = 3430764792. Its totient is φ = 326467584.

The previous prime is 1090630943. The next prime is 1090630963. The reversal of 1090630944 is 4490360901.

1090630944 is a `hidden beast` number, since 10 + 9 + 0 + 630 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 674960400 + 415670544 = 25980^2 + 20388^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10906309442 = 2378951712020662272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1090630899 and 1090630908.

It is not an unprimeable number, because it can be changed into a prime (1090630943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134592 + ... + 142464.

Almost surely, 21090630944 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 1090630944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715382396).

1090630944 is an abundant number, since it is smaller than the sum of its proper divisors (2340133848).

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

1090630944 is a wasteful number, since it uses less digits than its factorization.

1090630944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7939 (or 7928 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1090630944 is about 33024.7020274218. The cubic root of 1090630944 is about 1029.3410005216.

The spelling of 1090630944 in words is "one billion, ninety million, six hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 37 39 48 52 72 74 78 96 104 111 117 144 148 156 208 222 234 288 296 312 333 416 444 468 481 592 624 666 888 936 962 1184 1248 1332 1443 1776 1872 1924 2664 2886 3552 3744 3848 4329 5328 5772 7696 7873 8658 10656 11544 15392 15746 17316 23088 23619 31492 34632 46176 47238 62984 69264 70857 94476 102349 125968 138528 141714 188952 204698 251936 283428 291301 307047 377904 409396 566856 582602 614094 755808 818792 873903 921141 1133712 1165204 1228188 1637584 1747806 1842282 2267424 2330408 2456376 2621709 3275168 3495612 3684564 3786913 4660816 4912752 5243418 6991224 7369128 7573826 9321632 9825504 10486836 11360739 13982448 14738256 15147652 20973672 22721478 27964896 29476512 30295304 34082217 41947344 45442956 60590608 68164434 83894688 90885912 121181216 136328868 181771824 272657736 363543648 545315472 1090630944