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1094763040 = 25577912373
BaseRepresentation
bin100000101000000…
…1100001000100000
32211021222201120021
41001100030020200
54220224404130
6300344323224
736062221660
oct10120141040
92737881507
101094763040
11511a68748
12266773514
13145a690a7
14a55781a0
156619e37a
hex4140c220

1094763040 has 96 divisors (see below), whose sum is σ = 2993518080. Its totient is φ = 370566144.

The previous prime is 1094763023. The next prime is 1094763053. The reversal of 1094763040 is 403674901.

It is a happy number.

It is a super-2 number, since 2×10947630402 = 2397012227500083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1094762987 and 1094763005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82294 + ... + 94666.

It is an arithmetic number, because the mean of its divisors is an integer number (31182480).

Almost surely, 21094763040 is an apocalyptic number.

1094763040 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 1094763040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496759040).

1094763040 is an abundant number, since it is smaller than the sum of its proper divisors (1898755040).

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

1094763040 is a wasteful number, since it uses less digits than its factorization.

1094763040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12474 (or 12466 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 1094763040 is about 33087.2035687515. The cubic root of 1094763040 is about 1030.6393240791.

The spelling of 1094763040 in words is "one billion, ninety-four million, seven hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 79 80 112 140 158 160 224 280 316 395 553 560 632 790 1106 1120 1264 1580 2212 2528 2765 3160 4424 5530 6320 8848 11060 12373 12640 17696 22120 24746 44240 49492 61865 86611 88480 98984 123730 173222 197968 247460 346444 395936 433055 494920 692888 866110 977467 989840 1385776 1732220 1954934 1979680 2771552 3464440 3909868 4887335 6842269 6928880 7819736 9774670 13684538 13857760 15639472 19549340 27369076 31278944 34211345 39098680 54738152 68422690 78197360 109476304 136845380 156394720 218952608 273690760 547381520 1094763040