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1097087460 = 223572973847
BaseRepresentation
bin100000101100100…
…0011100111100100
32211110100211001220
41001121003213210
54221323244320
6300510220340
736121042500
oct10131034744
92743324056
101097087460
11513306057
122674b46b0
131463a10a1
14a59c1300
15664ace40
hex416439e4

1097087460 has 144 divisors (see below), whose sum is σ = 3611147904. Its totient is φ = 248113152.

The previous prime is 1097087441. The next prime is 1097087473. The reversal of 1097087460 is 647807901.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283257 + ... + 287103.

It is an arithmetic number, because the mean of its divisors is an integer number (25077416).

Almost surely, 21097087460 is an apocalyptic number.

1097087460 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 1097087460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805573952).

1097087460 is an abundant number, since it is smaller than the sum of its proper divisors (2514060444).

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

1097087460 is a wasteful number, since it uses less digits than its factorization.

1097087460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3970 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 1097087460 is about 33122.3106078063. The cubic root of 1097087460 is about 1031.3682322477.

The spelling of 1097087460 in words is "one billion, ninety-seven million, eighty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 97 98 105 140 147 194 196 210 245 291 294 388 420 485 490 582 588 679 735 970 980 1164 1358 1455 1470 1940 2037 2716 2910 2940 3395 3847 4074 4753 5820 6790 7694 8148 9506 10185 11541 13580 14259 15388 19012 19235 20370 23082 23765 26929 28518 38470 40740 46164 47530 53858 57036 57705 71295 76940 80787 95060 107716 115410 134645 142590 161574 188503 230820 269290 285180 323148 373159 377006 403935 538580 565509 746318 754012 807870 942515 1119477 1131018 1492636 1615740 1865795 1885030 2238954 2262036 2612113 2827545 3731590 3770060 4477908 5224226 5597385 5655090 7463180 7836339 10448452 11194770 11310180 13060565 15672678 18284791 22389540 26121130 31345356 36569582 39181695 52242260 54854373 73139164 78363390 91423955 109708746 156726780 182847910 219417492 274271865 365695820 548543730 1097087460