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1107646340 = 2251131732833
BaseRepresentation
bin100001000000101…
…0101011110000100
32212012020021010112
41002001111132010
54232024140330
6301524412152
736306560423
oct10201253604
92765207115
101107646340
115192680a9
1226ab47058
1314862a148
14a716d2ba
1567396795
hex42055784

1107646340 has 48 divisors (see below), whose sum is σ = 2361039408. Its totient is φ = 436445184.

The previous prime is 1107646313. The next prime is 1107646343. The reversal of 1107646340 is 436467011.

It can be written as a sum of positive squares in 8 ways, for example, as 48664576 + 1058981764 = 6976^2 + 32542^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1107646297 and 1107646306.

It is not an unprimeable number, because it can be changed into a prime (1107646343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389564 + ... + 392396.

It is an arithmetic number, because the mean of its divisors is an integer number (49188321).

Almost surely, 21107646340 is an apocalyptic number.

1107646340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1107646340 is an abundant number, since it is smaller than the sum of its proper divisors (1253393068).

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

1107646340 is a wasteful number, since it uses less digits than its factorization.

1107646340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 1107646340 is about 33281.3211877173. The cubic root of 1107646340 is about 1034.6664627303. Note that the first 3 decimals are identical.

The spelling of 1107646340 in words is "one billion, one hundred seven million, six hundred forty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 113 173 226 346 452 565 692 865 1130 1730 2260 2833 3460 5666 11332 14165 19549 28330 39098 56660 78196 97745 195490 320129 390980 490109 640258 980218 1280516 1600645 1960436 2450545 3201290 4901090 6402580 9802180 55382317 110764634 221529268 276911585 553823170 1107646340