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1255674420 = 223357111323101
BaseRepresentation
bin100101011011000…
…0001001000110100
310020111202212111000
41022312001020310
510032423040140
6324333243300
743055025240
oct11266011064
93214685430
101255674420
11594882860
122b0633530
131701b8620
14bcaa3420
1575386a30
hex4ad81234

1255674420 has 768 divisors, whose sum is σ = 5527388160. Its totient is φ = 228096000.

The previous prime is 1255674379. The next prime is 1255674457. The reversal of 1255674420 is 244765521.

It is a happy number.

1255674420 is a `hidden beast` number, since 12 + 556 + 74 + 4 + 20 = 666.

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 255 ways as a sum of consecutive naturals, for example, 12432370 + ... + 12432470.

It is an arithmetic number, because the mean of its divisors is an integer number (7197120).

Almost surely, 21255674420 is an apocalyptic number.

1255674420 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 1255674420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763694080).

1255674420 is an abundant number, since it is smaller than the sum of its proper divisors (4271713740).

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

1255674420 is a wasteful number, since it uses less digits than its factorization.

1255674420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 1255674420 is about 35435.4966100378. The cubic root of 1255674420 is about 1078.8449070085.

The spelling of 1255674420 in words is "one billion, two hundred fifty-five million, six hundred seventy-four thousand, four hundred twenty".