Search a number
-
+
106698540 = 223513295389
BaseRepresentation
bin1100101110000…
…01011100101100
321102202211212210
412113001130230
5204303323130
614330530420
72433631314
oct627013454
9242684783
10106698540
1155257213
122b896a10
131914a740
1410256444
1595795b0
hex65c172c

106698540 has 192 divisors, whose sum is σ = 342921600. Its totient is φ = 24600576.

The previous prime is 106698539. The next prime is 106698589. The reversal of 106698540 is 45896601.

It is a super-2 number, since 2×1066985402 = 22769156876263200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1198816 + ... + 1198904.

It is an arithmetic number, because the mean of its divisors is an integer number (1786050).

Almost surely, 2106698540 is an apocalyptic number.

106698540 is a gapful number since it is divisible by the number (10) 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 106698540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171460800).

106698540 is an abundant number, since it is smaller than the sum of its proper divisors (236223060).

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

106698540 is a wasteful number, since it uses less digits than its factorization.

106698540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 106698540 is about 10329.4985357470. The cubic root of 106698540 is about 474.2996734135.

The spelling of 106698540 in words is "one hundred six million, six hundred ninety-eight thousand, five hundred forty".