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900666072 = 233212509251
BaseRepresentation
bin110101101011110…
…001001011011000
32022202202120120200
4311223301023120
53321032303242
6225212222200
731214351415
oct6553611330
92282676520
10900666072
11422447829
1221176a960
1311479a907
148789110c
155410e04c
hex35af12d8

900666072 has 24 divisors (see below), whose sum is σ = 2439304140. Its totient is φ = 300222000.

The previous prime is 900666071. The next prime is 900666113. The reversal of 900666072 is 270666009.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×9006660722 = 1622398746503818368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900666071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6254554 + ... + 6254697.

Almost surely, 2900666072 is an apocalyptic number.

It is an amenable number.

900666072 is an abundant number, since it is smaller than the sum of its proper divisors (1538638068).

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

900666072 is a wasteful number, since it uses less digits than its factorization.

900666072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12509263 (or 12509256 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 900666072 is about 30011.0991468157. The cubic root of 900666072 is about 965.7275056670.

It can be divided in two parts, 9006 and 66072, that added together give a triangular number (75078 = T387).

The spelling of 900666072 in words is "nine hundred million, six hundred sixty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 12509251 25018502 37527753 50037004 75055506 100074008 112583259 150111012 225166518 300222024 450333036 900666072