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1054631328 = 253192321093
BaseRepresentation
bin111110110111000…
…110010110100000
32201111110211012120
4332313012112200
54124441200303
6252352224240
735064134622
oct7667062640
92644424176
101054631328
114a1348143
1225523b080
1313a65760a
14a00ccc12
15628c3553
hex3edc65a0

1054631328 has 144 divisors (see below), whose sum is σ = 3049109280. Its totient is φ = 318269952.

The previous prime is 1054631327. The next prime is 1054631411. The reversal of 1054631328 is 8231364501.

It is a super-2 number, since 2×10546313282 = 2224494475998087168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054631321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 964350 + ... + 965442.

It is an arithmetic number, because the mean of its divisors is an integer number (21174370).

Almost surely, 21054631328 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 1054631328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524554640).

1054631328 is an abundant number, since it is smaller than the sum of its proper divisors (1994477952).

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

1054631328 is a wasteful number, since it uses less digits than its factorization.

1054631328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1054631328 is about 32475.0878058859. The cubic root of 1054631328 is about 1017.8885348781. Note that the first 3 decimals are identical.

Adding to 1054631328 its reverse (8231364501), we get a palindrome (9285995829).

The spelling of 1054631328 in words is "one billion, fifty-four million, six hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 69 76 92 96 114 138 152 184 228 276 304 368 437 456 529 552 608 736 874 912 1058 1093 1104 1311 1587 1748 1824 2116 2186 2208 2622 3174 3279 3496 4232 4372 5244 6348 6558 6992 8464 8744 10051 10488 12696 13116 13984 16928 17488 20102 20767 20976 25139 25392 26232 30153 34976 40204 41534 41952 50278 50784 52464 60306 62301 75417 80408 83068 100556 104928 120612 124602 150834 160816 166136 201112 241224 249204 301668 321632 332272 402224 477641 482448 498408 578197 603336 664544 804448 955282 964896 996816 1156394 1206672 1432923 1734591 1910564 1993632 2312788 2413344 2865846 3469182 3821128 4625576 5731692 6938364 7642256 9251152 10985743 11463384 13876728 15284512 18502304 21971486 22926768 27753456 32957229 43942972 45853536 55506912 65914458 87885944 131828916 175771888 263657832 351543776 527315664 1054631328