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1040106336 = 25373193769
BaseRepresentation
bin111101111111101…
…100001101100000
32200111010212122220
4331333230031200
54112231400321
6251113031040
734526520663
oct7577541540
92614125586
101040106336
11494127315
122503b5480
13137640249
149c1cb6da
15614a49c6
hex3dfec360

1040106336 has 96 divisors (see below), whose sum is σ = 2785638240. Its totient is φ = 339738624.

The previous prime is 1040106323. The next prime is 1040106377. The reversal of 1040106336 is 6336010401.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1352160 + ... + 1352928.

It is an arithmetic number, because the mean of its divisors is an integer number (29017065).

Almost surely, 21040106336 is an apocalyptic number.

1040106336 is a gapful number since it is divisible by the number (16) 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 1040106336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392819120).

1040106336 is an abundant number, since it is smaller than the sum of its proper divisors (1745531904).

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

1040106336 is a wasteful number, since it uses less digits than its factorization.

1040106336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1040106336 is about 32250.6796207460. The cubic root of 1040106336 is about 1013.1939331941.

Adding to 1040106336 its reverse (6336010401), we get a palindrome (7376116737).

The spelling of 1040106336 in words is "one billion, forty million, one hundred six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 193 219 292 386 438 579 584 769 772 876 1158 1168 1538 1544 1752 2307 2316 2336 3076 3088 3504 4614 4632 6152 6176 7008 9228 9264 12304 14089 18456 18528 24608 28178 36912 42267 56137 56356 73824 84534 112274 112712 148417 168411 169068 224548 225424 296834 336822 338136 445251 449096 450848 593668 673644 676272 890502 898192 1187336 1347288 1352544 1781004 1796384 2374672 2694576 3562008 4749344 5389152 7124016 10834441 14248032 21668882 32503323 43337764 65006646 86675528 130013292 173351056 260026584 346702112 520053168 1040106336