Search a number
-
+
1312404976 = 24293737583
BaseRepresentation
bin100111000111001…
…1011010111110000
310101110112002011201
41032032123113300
510141433424401
6334121220544
744344154401
oct11616332760
93343462151
101312404976
11613900313
12307631754
1317bb8c3bc
14c642d9a8
157a340b01
hex4e39b5f0

1312404976 has 40 divisors (see below), whose sum is σ = 2637866880. Its totient is φ = 631792896.

The previous prime is 1312404943. The next prime is 1312404991. The reversal of 1312404976 is 6794042131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169281 + ... + 176863.

It is an arithmetic number, because the mean of its divisors is an integer number (65946672).

Almost surely, 21312404976 is an apocalyptic number.

1312404976 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 1312404976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318933440).

1312404976 is an abundant number, since it is smaller than the sum of its proper divisors (1325461904).

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

1312404976 is a wasteful number, since it uses less digits than its factorization.

1312404976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7993 (or 7987 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 1312404976 is about 36227.1303859414. The cubic root of 1312404976 is about 1094.8533615135.

The spelling of 1312404976 in words is "one billion, three hundred twelve million, four hundred four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 29 58 116 232 373 464 746 1492 2984 5968 7583 10817 15166 21634 30332 43268 60664 86536 121328 173072 219907 439814 879628 1759256 2828459 3518512 5656918 11313836 22627672 45255344 82025311 164050622 328101244 656202488 1312404976