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53147040 = 2535263421
BaseRepresentation
bin1100101010111…
…1010110100000
310201000011000220
43022233112200
5102101201130
65135043040
71213512432
oct312572640
9121004026
1053147040
1128000181
1215970480
13b01a96b
1470b6652
1549ec410
hex32af5a0

53147040 has 96 divisors (see below), whose sum is σ = 168448896. Its totient is φ = 14085120.

The previous prime is 53147033. The next prime is 53147063. The reversal of 53147040 is 4074135.

53147040 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 53147040.

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 15 ways as a sum of consecutive naturals, for example, 126030 + ... + 126450.

It is an arithmetic number, because the mean of its divisors is an integer number (1754676).

Almost surely, 253147040 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 53147040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84224448).

53147040 is an abundant number, since it is smaller than the sum of its proper divisors (115301856).

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

53147040 is a wasteful number, since it uses less digits than its factorization.

53147040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 53147040 is about 7290.2016433018. The cubic root of 53147040 is about 375.9756284188.

53147040 divided by its sum of digits (24) gives a triangular number (2214460 = T2104).

The spelling of 53147040 in words is "fifty-three million, one hundred forty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 263 421 480 526 789 842 1052 1263 1315 1578 1684 2104 2105 2526 2630 3156 3368 3945 4208 4210 5052 5260 6312 6315 6736 7890 8416 8420 10104 10520 12624 12630 13472 15780 16840 20208 21040 25248 25260 31560 33680 40416 42080 50520 63120 67360 101040 110723 126240 202080 221446 332169 442892 553615 664338 885784 1107230 1328676 1660845 1771568 2214460 2657352 3321690 3543136 4428920 5314704 6643380 8857840 10629408 13286760 17715680 26573520 53147040