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120385944 = 23327234123
BaseRepresentation
bin1110010110011…
…11000110011000
322101112020110200
413023033012120
5221304322234
615540142200
72661156300
oct713170630
9271466420
10120385944
1161a55818
1234397960
131bc307b3
1411dba600
15a87ed99
hex72cf198

120385944 has 72 divisors (see below), whose sum is σ = 379288260. Its totient is φ = 34394976.

The previous prime is 120385943. The next prime is 120385961. The reversal of 120385944 is 449583021.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1203859442 = 28985551025542272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 120385899 and 120385908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120385943) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13534 + ... + 20589.

Almost surely, 2120385944 is an apocalyptic number.

120385944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

120385944 is an abundant number, since it is smaller than the sum of its proper divisors (258902316).

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

120385944 is a wasteful number, since it uses less digits than its factorization.

120385944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34149 (or 34135 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 120385944 is about 10972.0528617028. The cubic root of 120385944 is about 493.7706377316.

The spelling of 120385944 in words is "one hundred twenty million, three hundred eighty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 34123 68246 102369 136492 204738 238861 272984 307107 409476 477722 614214 716583 818952 955444 1228428 1433166 1672027 1910888 2149749 2456856 2866332 3344054 4299498 5016081 5732664 6688108 8598996 10032162 13376216 15048243 17197992 20064324 30096486 40128648 60192972 120385944