Search a number
-
+
1034875680 = 253517126823
BaseRepresentation
bin111101101011101…
…111001100100000
32200010022010112220
4331223233030200
54104412010210
6250404551040
734434204156
oct7553571440
92603263486
101034875680
11491184463
1224a6b2480
1313652b497
149b6293d6
1560cbec70
hex3daef320

1034875680 has 96 divisors (see below), whose sum is σ = 3451641984. Its totient is φ = 259731456.

The previous prime is 1034875661. The next prime is 1034875691. The reversal of 1034875680 is 865784301.

It is a tau number, because it is divible by the number of its divisors (96).

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, 55252 + ... + 71571.

It is an arithmetic number, because the mean of its divisors is an integer number (35954604).

Almost surely, 21034875680 is an apocalyptic number.

1034875680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034875680 is an abundant number, since it is smaller than the sum of its proper divisors (2416766304).

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

1034875680 is a wasteful number, since it uses less digits than its factorization.

1034875680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126858 (or 126850 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 1034875680 is about 32169.4836763042. The cubic root of 1034875680 is about 1011.4926399090.

The spelling of 1034875680 in words is "one billion, thirty-four million, eight hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 126823 253646 380469 507292 634115 760938 1014584 1268230 1521876 1902345 2029168 2155991 2536460 3043752 3804690 4058336 4311982 5072920 6087504 6467973 7609380 8623964 10145840 10779955 12175008 12935946 15218760 17247928 20291680 21559910 25871892 30437520 32339865 34495856 43119820 51743784 60875040 64679730 68991712 86239640 103487568 129359460 172479280 206975136 258718920 344958560 517437840 1034875680