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270261864 = 233218612017
BaseRepresentation
bin10000000110111…
…101111001101000
3200211112201120200
4100012331321220
51023141334424
642452352200
76461121315
oct2006757150
9624481520
10270261864
11129612814
1276615660
1343cb8082
1427c71d0c
1518ad78c9
hex101bde68

270261864 has 48 divisors (see below), whose sum is σ = 732715620. Its totient is φ = 89994240.

The previous prime is 270261863. The next prime is 270261881. The reversal of 270261864 is 468162072.

270261864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 261080964 + 9180900 = 16158^2 + 3030^2 .

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

It is not an unprimeable number, because it can be changed into a prime (270261863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132984 + ... + 135000.

Almost surely, 2270261864 is an apocalyptic number.

270261864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

270261864 is an abundant number, since it is smaller than the sum of its proper divisors (462453756).

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

270261864 is a wasteful number, since it uses less digits than its factorization.

270261864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 270261864 is about 16439.6430618186. The cubic root of 270261864 is about 646.5392909334.

The spelling of 270261864 in words is "two hundred seventy million, two hundred sixty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1861 2017 3722 4034 5583 6051 7444 8068 11166 12102 14888 16136 16749 18153 22332 24204 33498 36306 44664 48408 66996 72612 133992 145224 3753637 7507274 11260911 15014548 22521822 30029096 33782733 45043644 67565466 90087288 135130932 270261864