Search a number
-
+
1040173120 = 26574211103
BaseRepresentation
bin111101111111111…
…100100001000000
32200111021021021101
4331333330201000
54112241014440
6251114304144
734530216460
oct7577744100
92614237241
101040173120
11494172508
12250428054
1313766476c
149c207ba0
15614b969a
hex3dffc840

1040173120 has 112 divisors (see below), whose sum is σ = 2840053248. Its totient is φ = 355461120.

The previous prime is 1040173109. The next prime is 1040173187. The reversal of 1040173120 is 213710401.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 942489 + ... + 943591.

Almost surely, 21040173120 is an apocalyptic number.

1040173120 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 1040173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420026624).

1040173120 is an abundant number, since it is smaller than the sum of its proper divisors (1799880128).

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

1040173120 is a wasteful number, since it uses less digits than its factorization.

1040173120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 1040173120 is about 32251.7149931597. The cubic root of 1040173120 is about 1013.2156180588.

Adding to 1040173120 its reverse (213710401), we get a palindrome (1253883521).

It can be divided in two parts, 10401 and 73120, that added together give a 4-th power (83521 = 174).

The spelling of 1040173120 in words is "one billion, forty million, one hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 421 448 560 842 1103 1120 1684 2105 2206 2240 2947 3368 4210 4412 5515 5894 6736 7721 8420 8824 11030 11788 13472 14735 15442 16840 17648 22060 23576 26944 29470 30884 33680 35296 38605 44120 47152 58940 61768 67360 70592 77210 88240 94304 117880 123536 134720 154420 176480 188608 235760 247072 308840 352960 464363 471520 494144 617680 928726 943040 1235360 1857452 2321815 2470720 3250541 3714904 4643630 6501082 7429808 9287260 13002164 14859616 16252705 18574520 26004328 29719232 32505410 37149040 52008656 65010820 74298080 104017312 130021640 148596160 208034624 260043280 520086560 1040173120