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642270000 = 2435479271
BaseRepresentation
bin100110010010000…
…100001100110000
31122202112200210210
4212102010030300
52303410120000
6143422024120
721626130201
oct4622041460
91582480723
10642270000
112aa5a9a59
1215b118040
13a30a8728
146142b5a8
153b5bc350
hex26484330

642270000 has 200 divisors, whose sum is σ = 2107325440. Its totient is φ = 168480000.

The previous prime is 642269981. The next prime is 642270001. The reversal of 642270000 is 72246.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (642270001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2369865 + ... + 2370135.

Almost surely, 2642270000 is an apocalyptic number.

642270000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053662720).

642270000 is an abundant number, since it is smaller than the sum of its proper divisors (1465055440).

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

642270000 is a wasteful number, since it uses less digits than its factorization.

642270000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 642270000 is about 25343.0463835743. The cubic root of 642270000 is about 862.7915418537.

The spelling of 642270000 in words is "six hundred forty-two million, two hundred seventy thousand".