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1054112240 = 24537477577
BaseRepresentation
bin111110110101000…
…111100111110000
32201110111110011002
4332311013213300
54124323042430
6252333141132
735056543346
oct7665074760
92643443132
101054112240
114a1023145
1225502a7a8
1313a50526c
149ddd5996
156281e845
hex3ed479f0

1054112240 has 80 divisors (see below), whose sum is σ = 2570942592. Its totient is φ = 401467392.

The previous prime is 1054112161. The next prime is 1054112243. The reversal of 1054112240 is 422114501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10541122402 = 2222305229035635200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054112243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135332 + ... + 142908.

Almost surely, 21054112240 is an apocalyptic number.

1054112240 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 1054112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285471296).

1054112240 is an abundant number, since it is smaller than the sum of its proper divisors (1516830352).

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

1054112240 is a wasteful number, since it uses less digits than its factorization.

1054112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7674 (or 7668 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1054112240 is about 32467.0947268153. The cubic root of 1054112240 is about 1017.7215063878.

Adding to 1054112240 its reverse (422114501), we get a palindrome (1476226741).

The spelling of 1054112240 in words is "one billion, fifty-four million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 47 74 80 94 148 185 188 235 296 370 376 470 592 740 752 940 1480 1739 1880 2960 3478 3760 6956 7577 8695 13912 15154 17390 27824 30308 34780 37885 60616 69560 75770 121232 139120 151540 280349 303080 356119 560698 606160 712238 1121396 1401745 1424476 1780595 2242792 2803490 2848952 3561190 4485584 5606980 5697904 7122380 11213960 13176403 14244760 22427920 26352806 28489520 52705612 65882015 105411224 131764030 210822448 263528060 527056120 1054112240