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1293140592 = 243323130147
BaseRepresentation
bin100110100010011…
…1100001001110000
310100010021100102000
41031010330021300
510122020444332
6332152254000
744021341122
oct11504741160
93303240360
101293140592
11603a42737
123010a1300
13177ba5a63
14c3a57212
15787d7b7c
hex4d13c270

1293140592 has 80 divisors (see below), whose sum is σ = 3873204480. Its totient is φ = 412302528.

The previous prime is 1293140579. The next prime is 1293140593. The reversal of 1293140592 is 2950413921.

1293140592 is a `hidden beast` number, since 1 + 29 + 3 + 1 + 40 + 592 = 666.

It is a super-2 number, since 2×12931405922 = 3344425181356220928, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293140593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55138 + ... + 75009.

It is an arithmetic number, because the mean of its divisors is an integer number (48415056).

Almost surely, 21293140592 is an apocalyptic number.

1293140592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1293140592 is an abundant number, since it is smaller than the sum of its proper divisors (2580063888).

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

1293140592 is a wasteful number, since it uses less digits than its factorization.

1293140592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130187 (or 130175 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1293140592 is about 35960.2640702206. The cubic root of 1293140592 is about 1089.4699305236.

The spelling of 1293140592 in words is "one billion, two hundred ninety-three million, one hundred forty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 130147 260294 390441 520588 780882 1041176 1171323 1561764 2082352 2342646 2993381 3123528 3513969 4685292 5986762 6247056 7027938 8980143 9370584 11973524 14055876 17960286 18741168 23947048 26940429 28111752 35920572 47894096 53880858 56223504 71841144 80821287 107761716 143682288 161642574 215523432 323285148 431046864 646570296 1293140592