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1049053640 = 235317910709
BaseRepresentation
bin111110100001110…
…100100111001000
32201002222110001112
4332201310213020
54122024204030
6252032505452
734665544265
oct7641644710
92632873045
101049053640
11499188588
122533ab288
131394538cb
149d47a26c
1562170a95
hex3e8749c8

1049053640 has 64 divisors (see below), whose sum is σ = 2467584000. Its totient is φ = 400907520.

The previous prime is 1049053619. The next prime is 1049053657. The reversal of 1049053640 is 463509401.

1049053640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10490536402 = 2201027079194499200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1049053597 and 1049053606.

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, 92606 + ... + 103314.

It is an arithmetic number, because the mean of its divisors is an integer number (38556000).

Almost surely, 21049053640 is an apocalyptic number.

1049053640 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 1049053640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233792000).

1049053640 is an abundant number, since it is smaller than the sum of its proper divisors (1418530360).

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

1049053640 is a wasteful number, since it uses less digits than its factorization.

1049053640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10830 (or 10826 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 1049053640 is about 32389.0975484035. The cubic root of 1049053640 is about 1016.0909072976.

The spelling of 1049053640 in words is "one billion, forty-nine million, fifty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 79 124 155 158 248 310 316 395 620 632 790 1240 1580 2449 3160 4898 9796 10709 12245 19592 21418 24490 42836 48980 53545 85672 97960 107090 214180 331979 428360 663958 846011 1327916 1659895 1692022 2655832 3319790 3384044 4230055 6639580 6768088 8460110 13279160 16920220 26226341 33840440 52452682 104905364 131131705 209810728 262263410 524526820 1049053640