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53399040 = 293517409
BaseRepresentation
bin1100101110110…
…0111000000000
310201110221201020
43023230320000
5102132232130
65144305440
71215612222
oct313547000
9121427636
1053399040
1128162542
1215a72280
13b0a8586
147140412
154a4be10
hex32ece00

53399040 has 160 divisors (see below), whose sum is σ = 181193760. Its totient is φ = 13369344.

The previous prime is 53398999. The next prime is 53399041. The reversal of 53399040 is 4099335.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 53398992 and 53399010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53399041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130356 + ... + 130764.

It is an arithmetic number, because the mean of its divisors is an integer number (1132461).

Almost surely, 253399040 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 53399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90596880).

53399040 is an abundant number, since it is smaller than the sum of its proper divisors (127794720).

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

53399040 is a wasteful number, since it uses less digits than its factorization.

53399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 53399040 is about 7307.4646766166. The cubic root of 53399040 is about 376.5689289663.

The spelling of 53399040 in words is "fifty-three million, three hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 409 480 510 512 544 640 680 768 816 818 960 1020 1088 1227 1280 1360 1536 1632 1636 1920 2040 2045 2176 2454 2560 2720 3264 3272 3840 4080 4090 4352 4908 5440 6135 6528 6544 6953 7680 8160 8180 8704 9816 10880 12270 13056 13088 13906 16320 16360 19632 20859 21760 24540 26112 26176 27812 32640 32720 34765 39264 41718 43520 49080 52352 55624 65280 65440 69530 78528 83436 98160 104295 104704 111248 130560 130880 139060 157056 166872 196320 208590 209408 222496 261760 278120 314112 333744 392640 417180 444992 523520 556240 628224 667488 785280 834360 889984 1047040 1112480 1334976 1570560 1668720 1779968 2224960 2669952 3141120 3337440 3559936 4449920 5339904 6674880 8899840 10679808 13349760 17799680 26699520 53399040