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1087121016 = 2332611271949
BaseRepresentation
bin100000011001100…
…0010011001111000
32210202121110200100
41000303002121320
54211300333031
6255512435400
735640243012
oct10063023170
92722543610
101087121016
11508719123
122640a8b60
131442c1897
14a45491b2
156568ede6
hex40cc2678

1087121016 has 96 divisors (see below), whose sum is σ = 3017664000. Its totient is φ = 353445120.

The previous prime is 1087120997. The next prime is 1087121017. The reversal of 1087121016 is 6101217801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087121017) 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, 556810 + ... + 558758.

It is an arithmetic number, because the mean of its divisors is an integer number (31434000).

Almost surely, 21087121016 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 1087121016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508832000).

1087121016 is an abundant number, since it is smaller than the sum of its proper divisors (1930542984).

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

1087121016 is a wasteful number, since it uses less digits than its factorization.

1087121016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 1087121016 is about 32971.5182543965. The cubic root of 1087121016 is about 1028.2355867177.

Adding to 1087121016 its reverse (6101217801), we get a palindrome (7188338817).

The spelling of 1087121016 in words is "one billion, eighty-seven million, one hundred twenty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 127 183 244 254 366 381 488 508 549 732 762 1016 1098 1143 1464 1524 1949 2196 2286 3048 3898 4392 4572 5847 7747 7796 9144 11694 15494 15592 17541 23241 23388 30988 35082 46482 46776 61976 69723 70164 92964 118889 139446 140328 185928 237778 247523 278892 356667 475556 495046 557784 713334 742569 951112 990092 1070001 1426668 1485138 1980184 2140002 2227707 2853336 2970276 4280004 4455414 5940552 8560008 8910828 15098903 17821656 30197806 45296709 60395612 90593418 120791224 135890127 181186836 271780254 362373672 543560508 1087121016