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1316197632 = 28323269277
BaseRepresentation
bin100111001110011…
…1001010100000000
310101201122202201110
41032130321110000
510143421311012
6334334403320
744421331611
oct11634712400
93351582643
101316197632
11615a60842
12308960540
1317c8b9789
14c6b39c08
157a83e73c
hex4e739500

1316197632 has 144 divisors (see below), whose sum is σ = 3682143360. Its totient is φ = 416587776.

The previous prime is 1316197627. The next prime is 1316197657. The reversal of 1316197632 is 2367916131.

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 15 ways as a sum of consecutive naturals, for example, 4751478 + ... + 4751754.

It is an arithmetic number, because the mean of its divisors is an integer number (25570440).

Almost surely, 21316197632 is an apocalyptic number.

1316197632 is a gapful number since it is divisible by the number (12) 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 1316197632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841071680).

1316197632 is an abundant number, since it is smaller than the sum of its proper divisors (2365945728).

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

1316197632 is a wasteful number, since it uses less digits than its factorization.

1316197632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 574 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 1316197632 is about 36279.4381433892. The cubic root of 1316197632 is about 1095.9070018948.

The spelling of 1316197632 in words is "one billion, three hundred sixteen million, one hundred ninety-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 269 276 277 368 384 538 552 554 736 768 807 831 1076 1104 1108 1472 1614 1662 2152 2208 2216 2944 3228 3324 4304 4416 4432 5888 6187 6371 6456 6648 8608 8832 8864 12374 12742 12912 13296 17216 17664 17728 18561 19113 24748 25484 25824 26592 34432 35456 37122 38226 49496 50968 51648 53184 68864 70912 74244 74513 76452 98992 101936 103296 106368 148488 149026 152904 197984 203872 206592 212736 223539 296976 298052 305808 395968 407744 447078 593952 596104 611616 791936 815488 894156 1187904 1192208 1223232 1583872 1630976 1713799 1788312 2375808 2384416 2446464 3427598 3576624 4751616 4768832 4892928 5141397 6855196 7153248 9537664 10282794 13710392 14306496 19075328 20565588 27420784 28612992 41131176 54841568 57225984 82262352 109683136 164524704 219366272 329049408 438732544 658098816 1316197632