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1130001040 = 245723591487
BaseRepresentation
bin100001101011010…
…0111001010010000
32220202022000000101
41003112213022100
54303240013130
6304043502144
740000564450
oct10326471220
92822260011
101130001040
1152a946563
12276527954
1315015628c
14aa10bd60
15693101ca
hex435a7290

1130001040 has 160 divisors (see below), whose sum is σ = 3188367360. Its totient is φ = 364058112.

The previous prime is 1130001031. The next prime is 1130001077. The reversal of 1130001040 is 401000311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759177 + ... + 760663.

It is an arithmetic number, because the mean of its divisors is an integer number (19927296).

Almost surely, 21130001040 is an apocalyptic number.

1130001040 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 1130001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594183680).

1130001040 is an abundant number, since it is smaller than the sum of its proper divisors (2058366320).

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

1130001040 is a wasteful number, since it uses less digits than its factorization.

1130001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1130001040 is about 33615.4880970067. The cubic root of 1130001040 is about 1041.5807568474.

Adding to 1130001040 its reverse (401000311), we get a palindrome (1531001351).

The spelling of 1130001040 in words is "one billion, one hundred thirty million, one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 59 70 80 92 112 115 118 140 161 184 230 236 280 295 322 368 413 460 472 560 590 644 805 826 920 944 1180 1288 1357 1487 1610 1652 1840 2065 2360 2576 2714 2974 3220 3304 4130 4720 5428 5948 6440 6608 6785 7435 8260 9499 10409 10856 11896 12880 13570 14870 16520 18998 20818 21712 23792 27140 29740 33040 34201 37996 41636 47495 52045 54280 59480 68402 75992 83272 87733 94990 104090 108560 118960 136804 151984 166544 171005 175466 189980 208180 239407 273608 342010 350932 379960 416360 438665 478814 547216 614131 684020 701864 759920 832720 877330 957628 1197035 1228262 1368040 1403728 1754660 1915256 2017859 2394070 2456524 2736080 3070655 3509320 3830512 4035718 4788140 4913048 6141310 7018640 8071436 9576280 9826096 10089295 12282620 14125013 16142872 19152560 20178590 24565240 28250026 32285744 40357180 49130480 56500052 70625065 80714360 113000104 141250130 161428720 226000208 282500260 565000520 1130001040