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1054361088 = 29321123161
BaseRepresentation
bin111110110110000…
…100011000000000
32201110222002111200
4332312010120000
54124404023323
6252342341200
735061631014
oct7666043000
92643862450
101054361088
114a1183100
1225512a800
1313a591601
14a005c544
156286d443
hex3ed84600

1054361088 has 360 divisors, whose sum is σ = 3509233728. Its totient is φ = 304128000.

The previous prime is 1054361081. The next prime is 1054361137. The reversal of 1054361088 is 8801634501.

1054361088 is a `hidden beast` number, since 1 + 0 + 543 + 6 + 108 + 8 = 666.

It is a super-2 number, since 2×10543610882 = 2223354607777087488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054361081) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17284578 + ... + 17284638.

Almost surely, 21054361088 is an apocalyptic number.

1054361088 is a gapful number since it is divisible by the number (18) 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 1054361088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754616864).

1054361088 is an abundant number, since it is smaller than the sum of its proper divisors (2454872640).

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

1054361088 is a wasteful number, since it uses less digits than its factorization.

1054361088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1054361088 is about 32470.9268115340. The cubic root of 1054361088 is about 1017.8015857902.

Adding to 1054361088 its reverse (8801634501), we get a palindrome (9855995589).

It can be divided in two parts, 10543 and 61088, that added together give a triangular number (71631 = T378).

The spelling of 1054361088 in words is "one billion, fifty-four million, three hundred sixty-one thousand, eighty-eight".