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1058103036 = 2232314911931
BaseRepresentation
bin111111000100010…
…101111011111100
32201202000012111100
4333010111323330
54131333244121
6252554453100
735135504334
oct7704257374
92652005440
101058103036
114a32a9521
12256434190
1313b2a1893
14a07540c4
1562d5c026
hex3f115efc

1058103036 has 72 divisors (see below), whose sum is σ = 2767984128. Its totient is φ = 340452000.

The previous prime is 1058102977. The next prime is 1058103037. The reversal of 1058103036 is 6303018501.

It is a super-2 number, since 2×10581030362 = 2239164069584834592, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1058103037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546991 + ... + 548921.

It is an arithmetic number, because the mean of its divisors is an integer number (38444224).

Almost surely, 21058103036 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 1058103036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383992064).

1058103036 is an abundant number, since it is smaller than the sum of its proper divisors (1709881092).

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

1058103036 is a wasteful number, since it uses less digits than its factorization.

1058103036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1058103036 is about 32528.4957537234. The cubic root of 1058103036 is about 1019.0042300463.

The spelling of 1058103036 in words is "one billion, fifty-eight million, one hundred three thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 491 558 982 1116 1473 1931 1964 2946 3862 4419 5793 5892 7724 8838 11586 15221 17379 17676 23172 30442 34758 45663 59861 60884 69516 91326 119722 136989 179583 182652 239444 273978 359166 538749 547956 718332 948121 1077498 1896242 2154996 2844363 3792484 5688726 8533089 11377452 17066178 29391751 34132356 58783502 88175253 117567004 176350506 264525759 352701012 529051518 1058103036