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100268840 = 2357358103
BaseRepresentation
bin1011111100111…
…11101100101000
320222200011222202
411332133230220
5201132100330
613541035332
72325161660
oct576375450
9228604882
10100268840
1151665511
12296b5b48
1317a08c99
14d4611a0
158c09445
hex5f9fb28

100268840 has 32 divisors (see below), whose sum is σ = 257834880. Its totient is φ = 34377792.

The previous prime is 100268809. The next prime is 100268843. The reversal of 100268840 is 48862001.

It is not an unprimeable number, because it can be changed into a prime (100268843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178772 + ... + 179331.

It is an arithmetic number, because the mean of its divisors is an integer number (8057340).

Almost surely, 2100268840 is an apocalyptic number.

100268840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100268840 is an abundant number, since it is smaller than the sum of its proper divisors (157566040).

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

100268840 is a wasteful number, since it uses less digits than its factorization.

100268840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358121 (or 358117 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 100268840 is about 10013.4329777554. The cubic root of 100268840 is about 464.5744594193.

The spelling of 100268840 in words is "one hundred million, two hundred sixty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 358103 716206 1432412 1790515 2506721 2864824 3581030 5013442 7162060 10026884 12533605 14324120 20053768 25067210 50134420 100268840