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1255464040 = 235314992029
BaseRepresentation
bin100101011010100…
…1101110001101000
310020111101011220011
41022311031301220
510032344322130
6324324541304
743053161005
oct11265156150
93214334804
101255464040
11594749796
122b0551834
1317014393c
14bca4a8ac
157534452a
hex4ad4dc68

1255464040 has 64 divisors (see below), whose sum is σ = 2923200000. Its totient is φ = 484773120.

The previous prime is 1255464031. The next prime is 1255464043. The reversal of 1255464040 is 404645521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 1255463993 and 1255464011.

It is not an unprimeable number, because it can be changed into a prime (1255464043) 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, 617746 + ... + 619774.

It is an arithmetic number, because the mean of its divisors is an integer number (45675000).

Almost surely, 21255464040 is an apocalyptic number.

1255464040 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 1255464040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461600000).

1255464040 is an abundant number, since it is smaller than the sum of its proper divisors (1667735960).

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

1255464040 is a wasteful number, since it uses less digits than its factorization.

1255464040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 1255464040 is about 35432.5279933566. The cubic root of 1255464040 is about 1078.7846525177.

The spelling of 1255464040 in words is "one billion, two hundred fifty-five million, four hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 499 620 998 1240 1996 2029 2495 3992 4058 4990 8116 9980 10145 15469 16232 19960 20290 30938 40580 61876 62899 77345 81160 123752 125798 154690 251596 309380 314495 503192 618760 628990 1012471 1257980 2024942 2515960 4049884 5062355 8099768 10124710 20249420 31386601 40498840 62773202 125546404 156933005 251092808 313866010 627732020 1255464040