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10428960 = 253521727
BaseRepresentation
bin100111110010…
…001000100000
3201121211211210
4213302020200
510132211320
61011310120
7154434063
oct47621040
921554753
1010428960
115983483
1235ab340
132211ba9
1415568da
15db00e0
hex9f2220

10428960 has 48 divisors (see below), whose sum is σ = 32852736. Its totient is φ = 2780928.

The previous prime is 10428953. The next prime is 10428961. The reversal of 10428960 is 6982401.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (10428961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10384 + ... + 11343.

It is an arithmetic number, because the mean of its divisors is an integer number (684432).

Almost surely, 210428960 is an apocalyptic number.

10428960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10428960 is an abundant number, since it is smaller than the sum of its proper divisors (22423776).

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

10428960 is a wasteful number, since it uses less digits than its factorization.

10428960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21745 (or 21737 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10428960 is about 3229.3900352853. The cubic root of 10428960 is about 218.4809961357.

The spelling of 10428960 in words is "ten million, four hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 21727 43454 65181 86908 108635 130362 173816 217270 260724 325905 347632 434540 521448 651810 695264 869080 1042896 1303620 1738160 2085792 2607240 3476320 5214480 10428960