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53395740 = 22335611621
BaseRepresentation
bin1100101110110…
…0000100011100
310201110210012000
43023230010130
5102132130430
65144242300
71215566466
oct313540434
9121423160
1053395740
1128160012
1215a70390
13b0a6c18
14713d136
154a4ae60
hex32ec11c

53395740 has 96 divisors (see below), whose sum is σ = 168947520. Its totient is φ = 13996800.

The previous prime is 53395739. The next prime is 53395781. The reversal of 53395740 is 4759335.

53395740 is a `hidden beast` number, since 53 + 39 + 574 + 0 = 666.

It is a super-2 number, since 2×533957402 = 5702210100295200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53395695 and 53395704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32130 + ... + 33750.

It is an arithmetic number, because the mean of its divisors is an integer number (1759870).

Almost surely, 253395740 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 53395740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84473760).

53395740 is an abundant number, since it is smaller than the sum of its proper divisors (115551780).

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

53395740 is a wasteful number, since it uses less digits than its factorization.

53395740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 53395740 is about 7307.2388766209. The cubic root of 53395740 is about 376.5611716292.

The spelling of 53395740 in words is "fifty-three million, three hundred ninety-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 108 122 135 180 183 244 270 305 366 540 549 610 732 915 1098 1220 1621 1647 1830 2196 2745 3242 3294 3660 4863 5490 6484 6588 8105 8235 9726 10980 14589 16210 16470 19452 24315 29178 32420 32940 43767 48630 58356 72945 87534 97260 98881 145890 175068 197762 218835 291780 296643 395524 437670 494405 593286 875340 889929 988810 1186572 1483215 1779858 1977620 2669787 2966430 3559716 4449645 5339574 5932860 8899290 10679148 13348935 17798580 26697870 53395740