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10377020 = 225372379
BaseRepresentation
bin100111100101…
…011100111100
3201112012121002
4213211130330
510124031040
61010225432
7154126463
oct47453474
921465532
1010377020
115948455
123585278
1321c4364
1415419da
15d9ea15
hex9e573c

10377020 has 36 divisors (see below), whose sum is σ = 22455720. Its totient is φ = 4027968.

The previous prime is 10377019. The next prime is 10377047. The reversal of 10377020 is 2077301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10376983 and 10377001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27191 + ... + 27569.

It is an arithmetic number, because the mean of its divisors is an integer number (623770).

Almost surely, 210377020 is an apocalyptic number.

10377020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10377020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11227860).

10377020 is an abundant number, since it is smaller than the sum of its proper divisors (12078700).

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

10377020 is a wasteful number, since it uses less digits than its factorization.

10377020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 10377020 is about 3221.3382312325. The cubic root of 10377020 is about 218.1176874859.

The spelling of 10377020 in words is "ten million, three hundred seventy-seven thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 379 740 758 1369 1516 1895 2738 3790 5476 6845 7580 13690 14023 27380 28046 56092 70115 140230 280460 518851 1037702 2075404 2594255 5188510 10377020