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10073820 = 2235379443
BaseRepresentation
bin100110011011…
…011011011100
3200221210200110
4212123123130
510034330240
6555530020
7151424511
oct46333334
920853613
1010073820
115760679
123459910
132119353
1414a3308
15d3ec80
hex99b6dc

10073820 has 48 divisors (see below), whose sum is σ = 28344960. Its totient is φ = 2673216.

The previous prime is 10073807. The next prime is 10073827. The reversal of 10073820 is 2837001.

Added to its reverse (2837001) it gives a triangular number (12910821 = T5081).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10073827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22519 + ... + 22961.

It is an arithmetic number, because the mean of its divisors is an integer number (590520).

Almost surely, 210073820 is an apocalyptic number.

10073820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10073820 is an abundant number, since it is smaller than the sum of its proper divisors (18271140).

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

10073820 is a wasteful number, since it uses less digits than its factorization.

10073820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 10073820 is about 3173.9281655387. The cubic root of 10073820 is about 215.9723044051.

Adding to 10073820 its reverse (2837001), we get a triangular number (12910821 = T5081).

It can be divided in two parts, 100 and 73820, that added together give a triangular number (73920 = T384).

The spelling of 10073820 in words is "ten million, seventy-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 379 443 758 886 1137 1329 1516 1772 1895 2215 2274 2658 3790 4430 4548 5316 5685 6645 7580 8860 11370 13290 22740 26580 167897 335794 503691 671588 839485 1007382 1678970 2014764 2518455 3357940 5036910 10073820