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1255125040 = 2451310311717
BaseRepresentation
bin100101011001111…
…1011000000110000
310020110201221212121
41022303323000300
510032303000130
6324313404024
743050246451
oct11263730060
93213657777
101255125040
11594538024
122b0409614
13170055550
14bc99d128
15752c8d7a
hex4acfb030

1255125040 has 80 divisors (see below), whose sum is σ = 3173421888. Its totient is φ = 458892288.

The previous prime is 1255125037. The next prime is 1255125041. The reversal of 1255125040 is 405215521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1255124996 and 1255125014.

It is not an unprimeable number, because it can be changed into a prime (1255125041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101262 + ... + 112978.

Almost surely, 21255125040 is an apocalyptic number.

1255125040 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 1255125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586710944).

1255125040 is an abundant number, since it is smaller than the sum of its proper divisors (1918296848).

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

1255125040 is a wasteful number, since it uses less digits than its factorization.

1255125040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11846 (or 11840 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 1255125040 is about 35427.7439304283. The cubic root of 1255125040 is about 1078.6875460809.

The spelling of 1255125040 in words is "one billion, two hundred fifty-five million, one hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 103 104 130 206 208 260 412 515 520 824 1030 1040 1339 1648 2060 2678 4120 5356 6695 8240 10712 11717 13390 21424 23434 26780 46868 53560 58585 93736 107120 117170 152321 187472 234340 304642 468680 609284 761605 937360 1206851 1218568 1523210 2413702 2437136 3046420 4827404 6034255 6092840 9654808 12068510 12185680 15689063 19309616 24137020 31378126 48274040 62756252 78445315 96548080 125512504 156890630 251025008 313781260 627562520 1255125040