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105348740 = 22572332717
BaseRepresentation
bin1100100011101…
…11111010000100
321100020021022012
412101313322010
5203432124430
614241553352
72416310120
oct621677204
9240207265
10105348740
1154515082
122b345858
1318a97243
14ddc4580
1593ae695
hex6477e84

105348740 has 48 divisors (see below), whose sum is σ = 263837952. Its totient is φ = 34548096.

The previous prime is 105348701. The next prime is 105348781. The reversal of 105348740 is 47843501.

It is a super-2 number, since 2×1053487402 = 22196714039175200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105348697 and 105348706.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13139 + ... + 19578.

It is an arithmetic number, because the mean of its divisors is an integer number (5496624).

Almost surely, 2105348740 is an apocalyptic number.

105348740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105348740 is an abundant number, since it is smaller than the sum of its proper divisors (158489212).

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

105348740 is a wasteful number, since it uses less digits than its factorization.

105348740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32756 (or 32754 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 105348740 is about 10263.9534293565. The cubic root of 105348740 is about 472.2911219933.

The spelling of 105348740 in words is "one hundred five million, three hundred forty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 32717 65434 130868 163585 229019 327170 458038 654340 752491 916076 1145095 1504982 2290190 3009964 3762455 4580380 5267437 7524910 10534874 15049820 21069748 26337185 52674370 105348740