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53960634 = 23371379139
BaseRepresentation
bin1100110111010…
…1111110111010
310202112111002000
43031311332322
5102303220014
65204321430
71223441430
oct315657672
9122474060
1053960634
1128506472
12160a3276
13b244090
147248d50
154b0d509
hex3375fba

53960634 has 128 divisors (see below), whose sum is σ = 150528000. Its totient is φ = 13950144.

The previous prime is 53960629. The next prime is 53960663. The reversal of 53960634 is 43606935.

53960634 is a `hidden beast` number, since 539 + 60 + 63 + 4 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 388137 + ... + 388275.

It is an arithmetic number, because the mean of its divisors is an integer number (1176000).

Almost surely, 253960634 is an apocalyptic number.

53960634 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53960634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75264000).

53960634 is an abundant number, since it is smaller than the sum of its proper divisors (96567366).

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

53960634 is a wasteful number, since it uses less digits than its factorization.

53960634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 53960634 is about 7345.7902229781. The cubic root of 53960634 is about 377.8844443958.

The spelling of 53960634 in words is "fifty-three million, nine hundred sixty thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 79 91 117 126 139 158 182 189 234 237 273 278 351 378 417 474 546 553 702 711 819 834 973 1027 1106 1251 1422 1638 1659 1807 1946 2054 2133 2457 2502 2919 3081 3318 3614 3753 4266 4914 4977 5421 5838 6162 7189 7506 8757 9243 9954 10842 10981 12649 14378 14931 16263 17514 18486 21567 21962 25298 26271 27729 29862 32526 32943 37947 43134 48789 52542 55458 64701 65886 75894 76867 97578 98829 113841 129402 142753 153734 194103 197658 227682 230601 285506 296487 341523 388206 428259 461202 592974 683046 691803 856518 999271 1284777 1383606 1998542 2075409 2569554 2997813 3854331 4150818 5995626 7708662 8993439 17986878 26980317 53960634