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431427020 = 2251710691187
BaseRepresentation
bin11001101101110…
…000110111001100
31010001210202121112
4121231300313030
51340421131040
6110450551152
713456032503
oct3155606714
91101722545
10431427020
11201590562
121005984b8
136b4c5c7b
144142583a
1527d20365
hex19b70dcc

431427020 has 48 divisors (see below), whose sum is σ = 960996960. Its totient is φ = 162130944.

The previous prime is 431427019. The next prime is 431427023. The reversal of 431427020 is 20724134.

It is a super-2 number, since 2×4314270202 = 372258547172160800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431427023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362867 + ... + 364053.

It is an arithmetic number, because the mean of its divisors is an integer number (20020770).

Almost surely, 2431427020 is an apocalyptic number.

It is an amenable number.

431427020 is an abundant number, since it is smaller than the sum of its proper divisors (529569940).

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

431427020 is a wasteful number, since it uses less digits than its factorization.

431427020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 431427020 is about 20770.8213607455. The cubic root of 431427020 is about 755.6182646753.

The spelling of 431427020 in words is "four hundred thirty-one million, four hundred twenty-seven thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1069 1187 2138 2374 4276 4748 5345 5935 10690 11870 18173 20179 21380 23740 36346 40358 72692 80716 90865 100895 181730 201790 363460 403580 1268903 2537806 5075612 6344515 12689030 21571351 25378060 43142702 86285404 107856755 215713510 431427020