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10231920 = 243451579
BaseRepresentation
bin100111000010…
…000001110000
3201020211120000
4213002001300
510104410140
61003150000
7152653446
oct47020160
921224500
1010231920
115859436
123515300
1321732ba
141504b96
15d71a30
hex9c2070

10231920 has 100 divisors (see below), whose sum is σ = 35559480. Its totient is φ = 2726784.

The previous prime is 10231913. The next prime is 10231927. The reversal of 10231920 is 2913201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10231913) and next prime (10231927).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10231893 and 10231902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10231927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5691 + ... + 7269.

Almost surely, 210231920 is an apocalyptic number.

10231920 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 10231920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17779740).

10231920 is an abundant number, since it is smaller than the sum of its proper divisors (25327560).

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

10231920 is a wasteful number, since it uses less digits than its factorization.

10231920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10231920 is about 3198.7372508538. The cubic root of 10231920 is about 217.0962784277.

The spelling of 10231920 in words is "ten million, two hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1579 1620 2160 3158 3240 4737 6316 6480 7895 9474 12632 14211 15790 18948 23685 25264 28422 31580 37896 42633 47370 56844 63160 71055 75792 85266 94740 113688 126320 127899 142110 170532 189480 213165 227376 255798 284220 341064 378960 426330 511596 568440 639495 682128 852660 1023192 1136880 1278990 1705320 2046384 2557980 3410640 5115960 10231920