Search a number
-
+
10047120 = 243541863
BaseRepresentation
bin100110010100…
…111010010000
3200220110001120
4212110322100
510033001440
6555202240
7151253616
oct46247220
920813046
1010047120
115742606
123446380
13210a155
1414976b6
15d36dd0
hex994e90

10047120 has 40 divisors (see below), whose sum is σ = 31146816. Its totient is φ = 2679168.

The previous prime is 10047109. The next prime is 10047133. The reversal of 10047120 is 2174001.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10047120.

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, 20692 + ... + 21171.

Almost surely, 210047120 is an apocalyptic number.

10047120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10047120 is an abundant number, since it is smaller than the sum of its proper divisors (21099696).

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

10047120 is a wasteful number, since it uses less digits than its factorization.

10047120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41879 (or 41873 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 10047120 is about 3169.7192304682. The cubic root of 10047120 is about 215.7813287678.

The spelling of 10047120 in words is "ten million, forty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 41863 83726 125589 167452 209315 251178 334904 418630 502356 627945 669808 837260 1004712 1255890 1674520 2009424 2511780 3349040 5023560 10047120