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2082087696 = 2431323239607
BaseRepresentation
bin111110000011010…
…0010001100010000
312101002211000101010
41330012202030100
513231003301241
6542334210520
7102411311343
oct17406421420
95332730333
102082087696
11979314337
124a1353a40
13272488a70
1415a74645a
15c2bc9d16
hex7c1a2310

2082087696 has 160 divisors (see below), whose sum is σ = 6079610880. Its totient is φ = 609219072.

The previous prime is 2082087691. The next prime is 2082087701. The reversal of 2082087696 is 6967802802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2082087691) and next prime (2082087701).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2082087691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3429825 + ... + 3430431.

It is an arithmetic number, because the mean of its divisors is an integer number (37997568).

Almost surely, 22082087696 is an apocalyptic number.

2082087696 is a gapful number since it is divisible by the number (26) 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 2082087696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039805440).

2082087696 is an abundant number, since it is smaller than the sum of its proper divisors (3997523184).

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

2082087696 is a wasteful number, since it uses less digits than its factorization.

2082087696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 2082087696 is about 45629.8991451877. The cubic root of 2082087696 is about 1276.9277916043.

The spelling of 2082087696 in words is "two billion, eighty-two million, eighty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 239 276 299 312 368 478 552 598 607 624 717 897 956 1104 1196 1214 1434 1794 1821 1912 2392 2428 2868 3107 3588 3642 3824 4784 4856 5497 5736 6214 7176 7284 7891 9321 9712 10994 11472 12428 13961 14352 14568 15782 16491 18642 21988 23673 24856 27922 29136 31564 32982 37284 41883 43976 47346 49712 55844 63128 65964 71461 74568 83766 87952 94692 111688 126256 131928 142922 145073 149136 167532 181493 189384 214383 223376 263856 285844 290146 335064 362986 378768 428766 435219 544479 571688 580292 670128 725972 857532 870438 1088958 1143376 1160584 1451944 1715064 1740876 1885949 2177916 2321168 2903888 3336679 3430128 3481752 3771898 4355832 5657847 6673358 6963504 7543796 8711664 10010037 11315694 13346716 15087592 20020074 22631388 26693432 30175184 40040148 43376827 45262776 53386864 80080296 86753654 90525552 130130481 160160592 173507308 260260962 347014616 520521924 694029232 1041043848 2082087696