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53090640 = 243552731
BaseRepresentation
bin1100101010000…
…1100101010000
310200220021200000
43022201211100
5102042400030
65133530000
71213156131
oct312414520
9120807600
1053090640
1127a71869
1215943900
13accb0a5
14709dc88
1549da860
hex32a1950

53090640 has 120 divisors (see below), whose sum is σ = 184967328. Its totient is φ = 14152320.

The previous prime is 53090627. The next prime is 53090641. The reversal of 53090640 is 4609035.

It is a happy number.

53090640 is a `hidden beast` number, since 530 + 90 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53090641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18075 + ... + 20805.

Almost surely, 253090640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53090640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92483664).

53090640 is an abundant number, since it is smaller than the sum of its proper divisors (131876688).

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

53090640 is a wasteful number, since it uses less digits than its factorization.

53090640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 53090640 is about 7286.3324107537. The cubic root of 53090640 is about 375.8425853817.

Adding to 53090640 its reverse (4609035), we get a palindrome (57699675).

The spelling of 53090640 in words is "fifty-three million, ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 2731 3240 3888 4860 5462 6480 8193 9720 10924 13655 16386 19440 21848 24579 27310 32772 40965 43696 49158 54620 65544 73737 81930 98316 109240 122895 131088 147474 163860 196632 218480 221211 245790 294948 327720 368685 393264 442422 491580 589896 655440 663633 737370 884844 983160 1106055 1179792 1327266 1474740 1769688 1966320 2212110 2654532 2949480 3318165 3539376 4424220 5309064 5898960 6636330 8848440 10618128 13272660 17696880 26545320 53090640