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120541148 = 22713412197
BaseRepresentation
bin1110010111101…
…00111111011100
322101211010100222
413023310333130
5221324304043
615543340512
72662403630
oct713647734
9271733328
10120541148
1162051392
1234451738
131bc86330
141201adc0
15a8b0d68
hex72f4fdc

120541148 has 72 divisors (see below), whose sum is σ = 267464736. Its totient is φ = 46287360.

The previous prime is 120541129. The next prime is 120541151. The reversal of 120541148 is 841145021.

It is a super-2 number, since 2×1205411482 = 29060336722315808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611786 + ... + 611982.

It is an arithmetic number, because the mean of its divisors is an integer number (3714788).

Almost surely, 2120541148 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 120541148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133732368).

120541148 is an abundant number, since it is smaller than the sum of its proper divisors (146923588).

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

120541148 is a wasteful number, since it uses less digits than its factorization.

120541148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 120541148 is about 10979.1232801167. The cubic root of 120541148 is about 493.9827396484.

Adding to 120541148 its reverse (841145021), we get a palindrome (961686169).

The spelling of 120541148 in words is "one hundred twenty million, five hundred forty-one thousand, one hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 182 197 287 364 394 533 574 788 1066 1148 1379 1681 2132 2561 2758 3362 3731 5122 5516 6724 7462 8077 10244 11767 14924 16154 17927 21853 23534 32308 35854 43706 47068 56539 71708 87412 105001 113078 152971 210002 226156 305942 331157 420004 611884 662314 735007 1324628 1470014 2318099 2940028 4305041 4636198 8610082 9272396 17220164 30135287 60270574 120541148