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10197840 = 243542491
BaseRepresentation
bin100110111001…
…101101010000
3201012002210210
4212321231100
510102312330
61002324120
7152452212
oct46715520
921162723
1010197840
115835874
1234b9640
132160933
1414d65b2
15d668b0
hex9b9b50

10197840 has 40 divisors (see below), whose sum is σ = 31614048. Its totient is φ = 2719360.

The previous prime is 10197833. The next prime is 10197857. The reversal of 10197840 is 4879101.

10197840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10197798 and 10197807.

It is a congruent number.

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, 21006 + ... + 21485.

Almost surely, 210197840 is an apocalyptic number.

10197840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10197840 is an abundant number, since it is smaller than the sum of its proper divisors (21416208).

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

10197840 is a wasteful number, since it uses less digits than its factorization.

10197840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42507 (or 42501 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 10197840 is about 3193.4057055125. The cubic root of 10197840 is about 216.8549789533.

The spelling of 10197840 in words is "ten million, one hundred ninety-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 42491 84982 127473 169964 212455 254946 339928 424910 509892 637365 679856 849820 1019784 1274730 1699640 2039568 2549460 3399280 5098920 10197840