Search a number
-
+
9900480 = 263510313
BaseRepresentation
bin100101110001…
…000111000000
3200121222220110
4211301013000
510013303410
6552111320
7150103242
oct45610700
920558813
109900480
115652417
123395540
132088495
14145a092
15d08720
hex9711c0

9900480 has 56 divisors (see below), whose sum is σ = 31437072. Its totient is φ = 2639872.

The previous prime is 9900469. The next prime is 9900481. The reversal of 9900480 is 840099.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9900481) 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, 4197 + ... + 6116.

Almost surely, 29900480 is an apocalyptic number.

It is an amenable number.

9900480 is an abundant number, since it is smaller than the sum of its proper divisors (21536592).

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

9900480 is a wasteful number, since it uses less digits than its factorization.

9900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10333 (or 10323 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 9900480 is about 3146.5028205930. The cubic root of 9900480 is about 214.7263871152.

The spelling of 9900480 in words is "nine million, nine hundred thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 10313 20626 30939 41252 51565 61878 82504 103130 123756 154695 165008 206260 247512 309390 330016 412520 495024 618780 660032 825040 990048 1237560 1650080 1980096 2475120 3300160 4950240 9900480