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100023620 = 22510134937
BaseRepresentation
bin1011111011000…
…11110101000100
320222012201121112
411331203311010
5201101223440
613531504152
72323121024
oct575436504
9228181545
10100023620
1151508254
12295b8058
1317951498
14d3d9a84
158bab965
hex5f63d44

100023620 has 24 divisors (see below), whose sum is σ = 210299544. Its totient is φ = 39961856.

The previous prime is 100023611. The next prime is 100023643. The reversal of 100023620 is 26320001.

It can be written as a sum of positive squares in 4 ways, for example, as 662596 + 99361024 = 814^2 + 9968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100023595 and 100023604.

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, 17792 + ... + 22728.

It is an arithmetic number, because the mean of its divisors is an integer number (8762481).

Almost surely, 2100023620 is an apocalyptic number.

100023620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100023620 is an abundant number, since it is smaller than the sum of its proper divisors (110275924).

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

100023620 is a wasteful number, since it uses less digits than its factorization.

100023620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5959 (or 5957 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 100023620 is about 10001.1809302702. The cubic root of 100023620 is about 464.1954252604.

Adding to 100023620 its reverse (26320001), we get a palindrome (126343621).

The spelling of 100023620 in words is "one hundred million, twenty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 1013 2026 4052 4937 5065 9874 10130 19748 20260 24685 49370 98740 5001181 10002362 20004724 25005905 50011810 100023620