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1258252380 = 2234572112131
BaseRepresentation
bin100101011111111…
…0110100001011100
310020200121211210000
41022333312201130
510034103034010
6324504414300
743115653200
oct11277664134
93220554700
101258252380
11596283700
122b1477390
131708abb48
14bd174b00
15756e57c0
hex4aff685c

1258252380 has 540 divisors, whose sum is σ = 5085516744. Its totient is φ = 259459200.

The previous prime is 1258252379. The next prime is 1258252393. The reversal of 1258252380 is 832528521.

1258252380 is a `hidden beast` number, since 1 + 2 + 58 + 2 + 523 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 9604915 + ... + 9605045.

Almost surely, 21258252380 is an apocalyptic number.

1258252380 is a gapful number since it is divisible by the number (10) 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 1258252380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542758372).

1258252380 is an abundant number, since it is smaller than the sum of its proper divisors (3827264364).

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

1258252380 is a wasteful number, since it uses less digits than its factorization.

1258252380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1258252380 is about 35471.8533488173. The cubic root of 1258252380 is about 1079.5827091581.

The spelling of 1258252380 in words is "one billion, two hundred fifty-eight million, two hundred fifty-two thousand, three hundred eighty".