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290700072 = 233213310577
BaseRepresentation
bin10001010100111…
…011101100101000
3202021000002112100
4101110323230220
51043404400242
644502413400
710126624035
oct2124735450
9667002470
10290700072
1113a1022a3
1281431260
13482c2aa0
142a87238c
151a7c354c
hex1153bb28

290700072 has 48 divisors (see below), whose sum is σ = 847877940. Its totient is φ = 89445888.

The previous prime is 290700049. The next prime is 290700107. The reversal of 290700072 is 270007092.

It can be written as a sum of positive squares in 2 ways, for example, as 290566116 + 133956 = 17046^2 + 366^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154353 + ... + 156224.

Almost surely, 2290700072 is an apocalyptic number.

It is an amenable number.

290700072 is an abundant number, since it is smaller than the sum of its proper divisors (557177868).

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

290700072 is a wasteful number, since it uses less digits than its factorization.

290700072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310602 (or 310595 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 290700072 is about 17049.9287975053. The cubic root of 290700072 is about 662.4427933041.

The spelling of 290700072 in words is "two hundred ninety million, seven hundred thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 310577 621154 931731 1242308 1863462 2484616 2795193 3726924 4037501 5590386 7453848 8075002 11180772 12112503 16150004 22361544 24225006 32300008 36337509 48450012 72675018 96900024 145350036 290700072