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253007780 = 22573173293
BaseRepresentation
bin11110001010010…
…01011110100100
3122122002010102112
433011021132210
51004232222110
641034500152
76161350004
oct1705113644
9578063375
10253007780
1111a8a8543
1270894658
134055675c
1425860004
151732a405
hexf1497a4

253007780 has 24 divisors (see below), whose sum is σ = 538597752. Its totient is φ = 99816192.

The previous prime is 253007737. The next prime is 253007789. The reversal of 253007780 is 87700352.

253007780 is digitally balanced in base 2, 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 4 ways, for example, as 3936256 + 249071524 = 1984^2 + 15782^2 .

It is not an unprimeable number, because it can be changed into a prime (253007789) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85187 + ... + 88106.

It is an arithmetic number, because the mean of its divisors is an integer number (22441573).

Almost surely, 2253007780 is an apocalyptic number.

253007780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253007780 is an abundant number, since it is smaller than the sum of its proper divisors (285589972).

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

253007780 is a wasteful number, since it uses less digits than its factorization.

253007780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173375 (or 173373 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 253007780 is about 15906.2182809114. The cubic root of 253007780 is about 632.4768373047.

The spelling of 253007780 in words is "two hundred fifty-three million, seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 173293 346586 693172 866465 1732930 3465860 12650389 25300778 50601556 63251945 126503890 253007780