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53031120 = 2435792797
BaseRepresentation
bin1100101001001…
…1000011010000
310200210021000120
43022103003100
5102033443440
65132350240
71212520452
oct312230320
9120707016
1053031120
1127a3107a
1215915380
13aca9c7c
1470862d2
1549c7dd0
hex32930d0

53031120 has 80 divisors (see below), whose sum is σ = 166536960. Its totient is φ = 13957632.

The previous prime is 53031113. The next prime is 53031127. The reversal of 53031120 is 2113035.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53031113) and next prime (53031127).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 53031120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53031127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17562 + ... + 20358.

It is an arithmetic number, because the mean of its divisors is an integer number (2081712).

Almost surely, 253031120 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 53031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83268480).

53031120 is an abundant number, since it is smaller than the sum of its proper divisors (113505840).

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

53031120 is a wasteful number, since it uses less digits than its factorization.

53031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 53031120 is about 7282.2469060037. The cubic root of 53031120 is about 375.7020802906.

Adding to 53031120 its reverse (2113035), we get a palindrome (55144155).

The spelling of 53031120 in words is "fifty-three million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2370 2797 3160 3792 4740 5594 6320 8391 9480 11188 13985 16782 18960 22376 27970 33564 41955 44752 55940 67128 83910 111880 134256 167820 220963 223760 335640 441926 662889 671280 883852 1104815 1325778 1767704 2209630 2651556 3314445 3535408 4419260 5303112 6628890 8838520 10606224 13257780 17677040 26515560 53031120