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1117460970 = 2325101269457
BaseRepresentation
bin100001010011011…
…0001100111101010
32212212200220021100
41002212301213222
54242032222340
6302515022230
736456155463
oct10246614752
92785626240
101117460970
11523860a6a
1227229a976
1314a685512
14a85a5d6a
1568184830
hex429b19ea

1117460970 has 96 divisors (see below), whose sum is σ = 2951516880. Its totient is φ = 293299200.

The previous prime is 1117460969. The next prime is 1117460987. The reversal of 1117460970 is 790647111.

It can be written as a sum of positive squares in 8 ways, for example, as 738263241 + 379197729 = 27171^2 + 19473^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2444982 + ... + 2445438.

Almost surely, 21117460970 is an apocalyptic number.

1117460970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1117460970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475758440).

1117460970 is an abundant number, since it is smaller than the sum of its proper divisors (1834055910).

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

1117460970 is a wasteful number, since it uses less digits than its factorization.

1117460970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 1117460970 is about 33428.4455217409. The cubic root of 1117460970 is about 1037.7134707596.

The spelling of 1117460970 in words is "one billion, one hundred seventeen million, four hundred sixty thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 269 303 457 505 538 606 807 909 914 1010 1345 1371 1515 1614 1818 2285 2421 2690 2742 3030 4035 4113 4545 4570 4842 6855 8070 8226 9090 12105 13710 20565 24210 27169 41130 46157 54338 81507 92314 122933 135845 138471 163014 230785 244521 245866 271690 276942 368799 407535 415413 461570 489042 614665 692355 737598 815070 830826 1106397 1222605 1229330 1384710 1843995 2077065 2212794 2445210 3687990 4154130 5531985 11063970 12416233 24832466 37248699 62081165 74497398 111746097 124162330 186243495 223492194 372486990 558730485 1117460970