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53120000 = 2105483
BaseRepresentation
bin1100101010100…
…0110000000000
310200221202221102
43022220300000
5102044320000
65134313532
71213340543
oct312506000
9120852842
1053120000
1127a9192a
12159588a8
13b00b56b
1470aa85a
1549e43d5
hex32a8c00

53120000 has 110 divisors (see below), whose sum is σ = 134291388. Its totient is φ = 20992000.

The previous prime is 53119993. The next prime is 53120003. The reversal of 53120000 is 2135.

It is not an unprimeable number, because it can be changed into a prime (53120003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 639959 + ... + 640041.

Almost surely, 253120000 is an apocalyptic number.

53120000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67145694).

53120000 is an abundant number, since it is smaller than the sum of its proper divisors (81171388).

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

53120000 is an frugal number, since it uses more digits than its factorization.

53120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 53120000 is about 7288.3468633154. The cubic root of 53120000 is about 375.9118549981.

Adding to 53120000 its reverse (2135), we get a palindrome (53122135).

The spelling of 53120000 in words is "fifty-three million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 83 100 125 128 160 166 200 250 256 320 332 400 415 500 512 625 640 664 800 830 1000 1024 1250 1280 1328 1600 1660 2000 2075 2500 2560 2656 3200 3320 4000 4150 5000 5120 5312 6400 6640 8000 8300 10000 10375 10624 12800 13280 16000 16600 20000 20750 21248 25600 26560 32000 33200 40000 41500 42496 51875 53120 64000 66400 80000 83000 84992 103750 106240 128000 132800 160000 166000 207500 212480 265600 320000 332000 415000 424960 531200 640000 664000 830000 1062400 1328000 1660000 2124800 2656000 3320000 5312000 6640000 10624000 13280000 26560000 53120000