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53357040 = 24325116737
BaseRepresentation
bin1100101110001…
…0100111110000
310201101211002200
43023202213300
5102124411130
65143343200
71215345612
oct313424760
9121354080
1053357040
1128133a30
1215a51b00
13b092419
14712cdb2
154a3e760
hex32e29f0

53357040 has 120 divisors (see below), whose sum is σ = 195509808. Its totient is φ = 12933120.

The previous prime is 53357039. The next prime is 53357069. The reversal of 53357040 is 4075335.

It is a happy number.

53357040 is a `hidden beast` number, since 53 + 3 + 570 + 40 = 666.

53357040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 53356995 and 53357013.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4552 + ... + 11288.

Almost surely, 253357040 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 53357040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97754904).

53357040 is an abundant number, since it is smaller than the sum of its proper divisors (142152768).

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

53357040 is a wasteful number, since it uses less digits than its factorization.

53357040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6767 (or 6758 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 53357040 is about 7304.5903375891. The cubic root of 53357040 is about 376.4701753595.

The spelling of 53357040 in words is "fifty-three million, three hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 6737 7920 13474 20211 26948 33685 40422 53896 60633 67370 74107 80844 101055 107792 121266 134740 148214 161688 202110 222321 242532 269480 296428 303165 323376 370535 404220 444642 485064 538960 592856 606330 666963 741070 808440 889284 970128 1111605 1185712 1212660 1333926 1482140 1616880 1778568 2223210 2425320 2667852 2964280 3334815 3557136 4446420 4850640 5335704 5928560 6669630 8892840 10671408 13339260 17785680 26678520 53357040