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105001240 = 23510724533
BaseRepresentation
bin1100100001000…
…11000100011000
321022120121121211
412100203010120
5203340014430
614230312504
72413332031
oct620430430
9238517554
10105001240
11542a7a93
122b1b8734
13189a5016
14dd33a88
15934172a
hex6423118

105001240 has 32 divisors (see below), whose sum is σ = 238470480. Its totient is φ = 41606272.

The previous prime is 105001223. The next prime is 105001271. The reversal of 105001240 is 42100501.

It is a super-2 number, since 2×1050012402 = 22050520803075200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105001240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7987 + ... + 16546.

Almost surely, 2105001240 is an apocalyptic number.

105001240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105001240 is an abundant number, since it is smaller than the sum of its proper divisors (133469240).

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

105001240 is a wasteful number, since it uses less digits than its factorization.

105001240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24651 (or 24647 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 105001240 is about 10247.0112715855. The cubic root of 105001240 is about 471.7712551483.

Adding to 105001240 its reverse (42100501), we get a palindrome (147101741).

The spelling of 105001240 in words is "one hundred five million, one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 107 214 428 535 856 1070 2140 4280 24533 49066 98132 122665 196264 245330 490660 981320 2625031 5250062 10500124 13125155 21000248 26250310 52500620 105001240