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1053153728 = 26111519907
BaseRepresentation
bin111110110001011…
…101100111000000
32201101200202022122
4332301131213000
54124101404403
6252300423412
735045442014
oct7661354700
92641622278
101053153728
114a0528a90
12254847b68
1313a25abb3
149dc26544
15626d0838
hex3ec5d9c0

1053153728 has 56 divisors (see below), whose sum is σ = 2295168384. Its totient is φ = 475488000.

The previous prime is 1053153719. The next prime is 1053153733. The reversal of 1053153728 is 8273513501.

It is a super-2 number, since 2×10531537282 = 2218265549600595968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101351 + ... + 111257.

Almost surely, 21053153728 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 1053153728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147584192).

1053153728 is an abundant number, since it is smaller than the sum of its proper divisors (1242014656).

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

1053153728 is a wasteful number, since it uses less digits than its factorization.

1053153728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10081 (or 10071 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 1053153728 is about 32452.3300858351. The cubic root of 1053153728 is about 1017.4129389617.

The spelling of 1053153728 in words is "one billion, fifty-three million, one hundred fifty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 151 176 302 352 604 704 1208 1661 2416 3322 4832 6644 9664 9907 13288 19814 26576 39628 53152 79256 106304 108977 158512 217954 317024 435908 634048 871816 1495957 1743632 2991914 3487264 5983828 6974528 11967656 16455527 23935312 32911054 47870624 65822108 95741248 131644216 263288432 526576864 1053153728