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1231930240 = 27510191889
BaseRepresentation
bin100100101101101…
…1100001110000000
310011212002112120221
41021123130032000
510010333231430
6322124312424
742346143232
oct11133341600
93155075527
101231930240
11582435472
122a46a2714
131682c3c08
14b9882252
157324657a
hex496dc380

1231930240 has 64 divisors (see below), whose sum is σ = 2949534000. Its totient is φ = 492027904.

The previous prime is 1231930223. The next prime is 1231930247. The reversal of 1231930240 is 420391321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231930247) 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 7 ways as a sum of consecutive naturals, for example, 651216 + ... + 653104.

Almost surely, 21231930240 is an apocalyptic number.

1231930240 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 1231930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474767000).

1231930240 is an abundant number, since it is smaller than the sum of its proper divisors (1717603760).

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

1231930240 is a wasteful number, since it uses less digits than its factorization.

1231930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 1231930240 is about 35098.8637992742. The cubic root of 1231930240 is about 1072.0014479820.

The spelling of 1231930240 in words is "one billion, two hundred thirty-one million, nine hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1019 1889 2038 3778 4076 5095 7556 8152 9445 10190 15112 16304 18890 20380 30224 32608 37780 40760 60448 65216 75560 81520 120896 130432 151120 163040 241792 302240 326080 604480 652160 1208960 1924891 3849782 7699564 9624455 15399128 19248910 30798256 38497820 61596512 76995640 123193024 153991280 246386048 307982560 615965120 1231930240