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1086855936 = 28319211353
BaseRepresentation
bin100000011001000…
…0001101100000000
32210202010000001120
41000302001230000
54211213342221
6255503032240
735635060125
oct10062015400
92722100046
101086855936
11508557a51
12263b9b680
1314422b02a
14a44ba74c
156563b5c6
hex40c81b00

1086855936 has 144 divisors (see below), whose sum is σ = 3067962240. Its totient is φ = 340623360.

The previous prime is 1086855911. The next prime is 1086855943. The reversal of 1086855936 is 6395586801.

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, 3078736 + ... + 3079088.

Almost surely, 21086855936 is an apocalyptic number.

1086855936 is a gapful number since it is divisible by the number (16) 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 1086855936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533981120).

1086855936 is an abundant number, since it is smaller than the sum of its proper divisors (1981106304).

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

1086855936 is a wasteful number, since it uses less digits than its factorization.

1086855936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The square root of 1086855936 is about 32967.4981762341. The cubic root of 1086855936 is about 1028.1520060669.

The spelling of 1086855936 in words is "one billion, eighty-six million, eight hundred fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 211 228 256 304 353 384 422 456 608 633 706 768 844 912 1059 1216 1266 1412 1688 1824 2118 2432 2532 2824 3376 3648 4009 4236 4864 5064 5648 6707 6752 7296 8018 8472 10128 11296 12027 13414 13504 14592 16036 16944 20121 20256 22592 24054 26828 27008 32072 33888 40242 40512 45184 48108 53656 54016 64144 67776 74483 80484 81024 90368 96216 107312 128288 135552 148966 160968 162048 192432 214624 223449 256576 271104 297932 321936 384864 429248 446898 513152 595864 643872 769728 858496 893796 1026304 1191728 1287744 1415177 1539456 1716992 1787592 2383456 2575488 2830354 3078912 3575184 4245531 4766912 5150976 5660708 7150368 8491062 9533824 11321416 14300736 16982124 19067648 22642832 28601472 33964248 45285664 57202944 67928496 90571328 135856992 181142656 271713984 362285312 543427968 1086855936