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53993130 = 23547149257
BaseRepresentation
bin1100110111110…
…1111010101010
310202121010122120
43031331322222
5102310240010
65205132110
71223635242
oct315757252
9122533576
1053993130
1128528924
12160ba036
13b255ac9
147256b22
154b17e70
hex337deaa

53993130 has 64 divisors (see below), whose sum is σ = 133747200. Its totient is φ = 13942784.

The previous prime is 53993119. The next prime is 53993131. The reversal of 53993130 is 3139935.

It is a junction number, because it is equal to n+sod(n) for n = 53993091 and 53993100.

It is not an unprimeable number, because it can be changed into a prime (53993131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209962 + ... + 210218.

It is an arithmetic number, because the mean of its divisors is an integer number (2089800).

Almost surely, 253993130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53993130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66873600).

53993130 is an abundant number, since it is smaller than the sum of its proper divisors (79754070).

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

53993130 is a wasteful number, since it uses less digits than its factorization.

53993130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463.

The product of its (nonzero) digits is 10935, while the sum is 33.

The square root of 53993130 is about 7348.0017691887. The cubic root of 53993130 is about 377.9602852931.

The spelling of 53993130 in words is "fifty-three million, nine hundred ninety-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 149 235 257 282 298 447 470 514 705 745 771 894 1285 1410 1490 1542 2235 2570 3855 4470 7003 7710 12079 14006 21009 24158 35015 36237 38293 42018 60395 70030 72474 76586 105045 114879 120790 181185 191465 210090 229758 362370 382930 574395 1148790 1799771 3599542 5399313 8998855 10798626 17997710 26996565 53993130