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53634540 = 223559109139
BaseRepresentation
bin1100110010011…
…0010111101100
310201220220202110
43030212113230
5102212301130
65153324020
71220612631
oct314462754
9121826673
1053634540
1128303473
1215b66610
13b15b81b
1471a2188
154a96ab0
hex33265ec

53634540 has 96 divisors (see below), whose sum is σ = 155232000. Its totient is φ = 13830912.

The previous prime is 53634527. The next prime is 53634547. The reversal of 53634540 is 4543635.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 53634498 and 53634507.

It is not an unprimeable number, because it can be changed into a prime (53634547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385791 + ... + 385929.

It is an arithmetic number, because the mean of its divisors is an integer number (1617000).

Almost surely, 253634540 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 53634540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77616000).

53634540 is an abundant number, since it is smaller than the sum of its proper divisors (101597460).

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

53634540 is a wasteful number, since it uses less digits than its factorization.

53634540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 53634540 is about 7323.5606094304. The cubic root of 53634540 is about 377.1216975371.

The spelling of 53634540 in words is "fifty-three million, six hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 109 118 139 177 218 236 278 295 327 354 417 436 545 556 590 654 695 708 834 885 1090 1180 1308 1390 1635 1668 1770 2085 2180 2780 3270 3540 4170 6431 6540 8201 8340 12862 15151 16402 19293 24603 25724 30302 32155 32804 38586 41005 45453 49206 60604 64310 75755 77172 82010 90906 96465 98412 123015 128620 151510 164020 181812 192930 227265 246030 303020 385860 454530 492060 893909 909060 1787818 2681727 3575636 4469545 5363454 8939090 10726908 13408635 17878180 26817270 53634540