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235420640 = 255713192337
BaseRepresentation
bin11100000100000…
…11101111100000
3121101222121101222
432002003233200
5440231430030
635205514212
75556020360
oct1602035740
9541877358
10235420640
11110986014
1266a12968
1339a09670
14233a29a0
1515a043e5
hexe083be0

235420640 has 384 divisors, whose sum is σ = 772208640. Its totient is φ = 65691648.

The previous prime is 235420631. The next prime is 235420643. The reversal of 235420640 is 46024532.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235420643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6362702 + ... + 6362738.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 2235420640 is an apocalyptic number.

235420640 is a gapful number since it is divisible by the number (20) 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 235420640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386104320).

235420640 is an abundant number, since it is smaller than the sum of its proper divisors (536788000).

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

235420640 is a wasteful number, since it uses less digits than its factorization.

235420640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 235420640 is about 15343.4233468284. The cubic root of 235420640 is about 617.4685544041.

235420640 divided by its sum of digits (26) gives a triangular number (9054640 = T4255).

The spelling of 235420640 in words is "two hundred thirty-five million, four hundred twenty thousand, six hundred forty".