Search a number
-
+
107043552 = 25337111609
BaseRepresentation
bin1100110000101…
…01101011100000
321110102101011000
412120111223200
5204400343202
614342152000
72436566220
oct630255340
9243371130
10107043552
1155472450
122ba22600
131923b7a5
1410306080
1595e691c
hex6615ae0

107043552 has 192 divisors, whose sum is σ = 389491200. Its totient is φ = 27786240.

The previous prime is 107043533. The next prime is 107043557. The reversal of 107043552 is 255340701.

It is a happy number.

107043552 is a `hidden beast` number, since 1 + 0 + 70 + 43 + 552 = 666.

It is a super-2 number, since 2×1070435522 = 22916644049553408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107043557) 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, 65724 + ... + 67332.

It is an arithmetic number, because the mean of its divisors is an integer number (2028600).

Almost surely, 2107043552 is an apocalyptic number.

107043552 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 107043552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194745600).

107043552 is an abundant number, since it is smaller than the sum of its proper divisors (282447648).

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

107043552 is a wasteful number, since it uses less digits than its factorization.

107043552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 107043552 is about 10346.1853839954. The cubic root of 107043552 is about 474.8103427513.

The spelling of 107043552 in words is "one hundred seven million, forty-three thousand, five hundred fifty-two".