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1054100028 = 2231723271829
BaseRepresentation
bin111110110101000…
…100101000111100
32201110110211101210
4332311010220330
54124322200103
6252333004420
735056462632
oct7665045074
92643424353
101054100028
114a1014a53
12255023710
1313a4cc837
149ddd1352
156281ae03
hex3ed44a3c

1054100028 has 96 divisors (see below), whose sum is σ = 2730792960. Its totient is φ = 314772480.

The previous prime is 1054100027. The next prime is 1054100029. The reversal of 1054100028 is 8200014501.

It is an interprime number because it is at equal distance from previous prime (1054100027) and next prime (1054100029).

It is a super-2 number, since 2×10541000282 = 2222253738059201568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054099977 and 1054100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054100027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1271118 + ... + 1271946.

It is an arithmetic number, because the mean of its divisors is an integer number (28445760).

Almost surely, 21054100028 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 1054100028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365396480).

1054100028 is an abundant number, since it is smaller than the sum of its proper divisors (1676692932).

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

1054100028 is a wasteful number, since it uses less digits than its factorization.

1054100028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1054100028 is about 32466.9066589350. The cubic root of 1054100028 is about 1017.7175762361.

Adding to 1054100028 its reverse (8200014501), we get a palindrome (9254114529).

The spelling of 1054100028 in words is "one billion, fifty-four million, one hundred thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 271 276 391 542 782 813 829 1084 1173 1564 1626 1658 2346 2487 3252 3316 4607 4692 4974 6233 9214 9948 12466 13821 14093 18428 18699 19067 24932 27642 28186 37398 38134 42279 55284 56372 57201 74796 76268 84558 105961 114402 169116 211922 224659 228804 317883 324139 423844 449318 635766 648278 673977 898636 972417 1271532 1296556 1347954 1944834 2695908 3819203 3889668 5167157 7638406 10334314 11457609 15276812 15501471 20668628 22915218 31002942 45830436 62005884 87841669 175683338 263525007 351366676 527050014 1054100028