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107076978 = 2362712
BaseRepresentation
bin1100110000111…
…01110101110010
321110111002000000
412120131311302
5204402430403
614343010430
72440065531
oct630356562
9243432000
10107076978
1155495578
122ba39a16
1319250a78
1410314318
1596017a3
hex661dd72

107076978 has 42 divisors (see below), whose sum is σ = 241704927. Its totient is φ = 35560620.

The previous prime is 107076971. The next prime is 107077043. The reversal of 107076978 is 879670701.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 53538489 + 53538489 = 7317^2 + 7317^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7317.

It is a super-2 number, since 2×1070769782 = 22930958435224968, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107076971) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 394983 + ... + 395253.

Almost surely, 2107076978 is an apocalyptic number.

107076978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107076978

107076978 is an abundant number, since it is smaller than the sum of its proper divisors (134627949).

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

107076978 is an frugal number, since it uses more digits than its factorization.

107076978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 107076978 is about 10347.8006358839. The cubic root of 107076978 is about 474.8597598920.

The spelling of 107076978 in words is "one hundred seven million, seventy-six thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 271 486 542 729 813 1458 1626 2439 4878 7317 14634 21951 43902 65853 73441 131706 146882 197559 220323 395118 440646 660969 1321938 1982907 3965814 5948721 11897442 17846163 35692326 53538489 107076978