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106993544 = 2371999601
BaseRepresentation
bin1100110000010…
…01011110001000
321110022211112212
412120021132020
5204342243134
614341124252
72436300350
oct630113610
9243284485
10106993544
1155438919
122b9b9688
1319221ab8
14102d1b60
1595d6bce
hex6609788

106993544 has 32 divisors (see below), whose sum is σ = 230448000. Its totient is φ = 45619200.

The previous prime is 106993543. The next prime is 106993547. The reversal of 106993544 is 445399601.

It is a super-2 number, since 2×1069935442 = 22895236915359872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106993543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6344 + ... + 15944.

It is an arithmetic number, because the mean of its divisors is an integer number (7201500).

Almost surely, 2106993544 is an apocalyptic number.

106993544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106993544 is an abundant number, since it is smaller than the sum of its proper divisors (123454456).

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

106993544 is a wasteful number, since it uses less digits than its factorization.

106993544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9813 (or 9809 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 106993544 is about 10343.7683655426. The cubic root of 106993544 is about 474.7363914990.

The spelling of 106993544 in words is "one hundred six million, nine hundred ninety-three thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 199 398 796 1393 1592 2786 5572 9601 11144 19202 38404 67207 76808 134414 268828 537656 1910599 3821198 7642396 13374193 15284792 26748386 53496772 106993544