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1070517216 = 25341271981
BaseRepresentation
bin111111110011101…
…100101111100000
32202121100220112210
4333303230233200
54143023022331
6254120522120
735346150306
oct7763545740
92677326483
101070517216
114aa30847a
1225a620340
13140a2a252
14a2266276
1563eb0446
hex3fcecbe0

1070517216 has 48 divisors (see below), whose sum is σ = 2878657488. Its totient is φ = 348134400.

The previous prime is 1070517211. The next prime is 1070517269. The reversal of 1070517216 is 6127150701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×10705172164 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070517211) 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 7 ways as a sum of consecutive naturals, for example, 132055 + ... + 139926.

It is an arithmetic number, because the mean of its divisors is an integer number (59972031).

Almost surely, 21070517216 is an apocalyptic number.

1070517216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1070517216 is an abundant number, since it is smaller than the sum of its proper divisors (1808140272).

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

1070517216 is a wasteful number, since it uses less digits than its factorization.

1070517216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272035 (or 272027 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

The square root of 1070517216 is about 32718.7593896835. The cubic root of 1070517216 is about 1022.9738968561.

Adding to 1070517216 its reverse (6127150701), we get a palindrome (7197667917).

The spelling of 1070517216 in words is "one billion, seventy million, five hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 271981 543962 815943 1087924 1631886 2175848 3263772 4351696 6527544 8703392 11151221 13055088 22302442 26110176 33453663 44604884 66907326 89209768 133814652 178419536 267629304 356839072 535258608 1070517216