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1293226140 = 2235109197741
BaseRepresentation
bin100110100010101…
…0001000010011100
310100010102200202110
41031011101002130
510122031214030
6332154154020
744022145413
oct11505210234
93303380673
101293226140
11603aa0a38
12301122910
13177c0598b
14c3a7a47a
15788031b0
hex4d15109c

1293226140 has 48 divisors (see below), whose sum is σ = 3654272160. Its totient is φ = 341694720.

The previous prime is 1293226139. The next prime is 1293226177. The reversal of 1293226140 is 416223921.

1293226140 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1293226098 and 1293226107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92331 + ... + 105410.

It is an arithmetic number, because the mean of its divisors is an integer number (76130670).

Almost surely, 21293226140 is an apocalyptic number.

1293226140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1293226140 is an abundant number, since it is smaller than the sum of its proper divisors (2361046020).

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

1293226140 is a wasteful number, since it uses less digits than its factorization.

1293226140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197862 (or 197860 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1293226140 is about 35961.4535301342. The cubic root of 1293226140 is about 1089.4939547013.

The spelling of 1293226140 in words is "one billion, two hundred ninety-three million, two hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3270 6540 197741 395482 593223 790964 988705 1186446 1977410 2372892 2966115 3954820 5932230 11864460 21553769 43107538 64661307 86215076 107768845 129322614 215537690 258645228 323306535 431075380 646613070 1293226140