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1040134416 = 24329747223
BaseRepresentation
bin111101111111110…
…011000100010000
32200111012022011220
4331333303010100
54112233300131
6251113405040
734526665566
oct7577630420
92614168156
101040134416
11494146422
12250409780
1313764cc69
149c1d7a36
15614ace96
hex3dff3110

1040134416 has 40 divisors (see below), whose sum is σ = 2779673280. Its totient is φ = 334755456.

The previous prime is 1040134411. The next prime is 1040134429. The reversal of 1040134416 is 6144310401.

It is a super-2 number, since 2×10401344162 = 2163759206695322112, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1040134411) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 372220 + ... + 375003.

It is an arithmetic number, because the mean of its divisors is an integer number (69491832).

Almost surely, 21040134416 is an apocalyptic number.

1040134416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1040134416 is an abundant number, since it is smaller than the sum of its proper divisors (1739538864).

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

1040134416 is a wasteful number, since it uses less digits than its factorization.

1040134416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747263 (or 747257 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1040134416 is about 32251.1149574709. The cubic root of 1040134416 is about 1013.2030509252.

Adding to 1040134416 its reverse (6144310401), we get a palindrome (7184444817).

The spelling of 1040134416 in words is "one billion, forty million, one hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 747223 1494446 2241669 2988892 4483338 5977784 8966676 11955568 17933352 21669467 35866704 43338934 65008401 86677868 130016802 173355736 260033604 346711472 520067208 1040134416