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1087148916 = 2232719474831
BaseRepresentation
bin100000011001100…
…1001001101110100
32210202122212221200
41000303021031310
54211302231131
6255513212500
735640420240
oct10063111564
92722585850
101087148916
11508738087
12264101130
131443014a9
14a4555420
15656982e6
hex40cc9374

1087148916 has 144 divisors (see below), whose sum is σ = 3376988160. Its totient is φ = 287945280.

The previous prime is 1087148903. The next prime is 1087148921. The reversal of 1087148916 is 6198417801.

It is a happy number.

It is a congruent number.

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, 222621 + ... + 227451.

Almost surely, 21087148916 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 1087148916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688494080).

1087148916 is an abundant number, since it is smaller than the sum of its proper divisors (2289839244).

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

1087148916 is a wasteful number, since it uses less digits than its factorization.

1087148916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4914 (or 4909 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 1087148916 is about 32971.9413441186. The cubic root of 1087148916 is about 1028.2443828949.

The spelling of 1087148916 in words is "one billion, eighty-seven million, one hundred forty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 47 57 63 76 84 94 114 126 133 141 171 188 228 252 266 282 329 342 399 423 532 564 658 684 798 846 893 987 1197 1316 1596 1692 1786 1974 2394 2679 2961 3572 3948 4788 4831 5358 5922 6251 8037 9662 10716 11844 12502 14493 16074 18753 19324 25004 28986 32148 33817 37506 43479 56259 57972 67634 75012 86958 91789 101451 112518 135268 173916 183578 202902 225036 227057 275367 304353 367156 405804 454114 550734 608706 642523 681171 826101 908228 1101468 1217412 1285046 1362342 1589399 1652202 1927569 2043513 2570092 2724684 3178798 3304404 3855138 4087026 4314083 4768197 5782707 6357596 7710276 8174052 8628166 9536394 11565414 12942249 14304591 17256332 19072788 23130828 25884498 28609182 30198581 38826747 51768996 57218364 60397162 77653494 90595743 120794324 155306988 181191486 271787229 362382972 543574458 1087148916