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1054078368 = 25373150599
BaseRepresentation
bin111110110100111…
…111010110100000
32201110102201200120
4332310333112200
54124321001433
6252332320240
735056342530
oct7664772640
92643381616
101054078368
114a0aaa752
12255013080
1313a4c2a15
149ddc74c0
15628147b3
hex3ed3f5a0

1054078368 has 96 divisors (see below), whose sum is σ = 3264307200. Its totient is φ = 291444480.

The previous prime is 1054078331. The next prime is 1054078381. The reversal of 1054078368 is 8638704501.

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

It is a super-2 number, since 2×10540783682 = 2222162411771086848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4468 + ... + 46131.

It is an arithmetic number, because the mean of its divisors is an integer number (34003200).

Almost surely, 21054078368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054078368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632153600).

1054078368 is an abundant number, since it is smaller than the sum of its proper divisors (2210228832).

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

1054078368 is a wasteful number, since it uses less digits than its factorization.

1054078368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50650 (or 50642 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 1054078368 is about 32466.5730867919. The cubic root of 1054078368 is about 1017.7106053879.

The spelling of 1054078368 in words is "one billion, fifty-four million, seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 50599 101198 151797 202396 303594 354193 404792 607188 708386 809584 1062579 1214376 1416772 1568569 1619168 2125158 2428752 2833544 3137138 4250316 4705707 4857504 5667088 6274276 8500632 9411414 10979983 11334176 12548552 17001264 18822828 21959966 25097104 32939949 34002528 37645656 43919932 50194208 65879898 75291312 87839864 131759796 150582624 175679728 263519592 351359456 527039184 1054078368