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120413304 = 2336111877
BaseRepresentation
bin1110010110101…
…01110001111000
322101120122000000
413023111301320
5221311211204
615540513000
72661332124
oct713256170
9271518000
10120413304
1161a74330
12343ab760
131bc4009b
1411dc6584
15a888039
hex72d5c78

120413304 has 112 divisors (see below), whose sum is σ = 369477720. Its totient is φ = 36469440.

The previous prime is 120413299. The next prime is 120413309. The reversal of 120413304 is 403314021.

It is an interprime number because it is at equal distance from previous prime (120413299) and next prime (120413309).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120413309) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 63214 + ... + 65090.

Almost surely, 2120413304 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 120413304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184738860).

120413304 is an abundant number, since it is smaller than the sum of its proper divisors (249064416).

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

120413304 is a wasteful number, since it uses less digits than its factorization.

120413304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 120413304 is about 10973.2995949259. The cubic root of 120413304 is about 493.8080411607.

Adding to 120413304 its reverse (403314021), we get a palindrome (523727325).

The spelling of 120413304 in words is "one hundred twenty million, four hundred thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 729 792 891 972 1188 1458 1782 1877 1944 2376 2673 2916 3564 3754 5346 5631 5832 7128 7508 8019 10692 11262 15016 16038 16893 20647 21384 22524 32076 33786 41294 45048 50679 61941 64152 67572 82588 101358 123882 135144 152037 165176 185823 202716 247764 304074 371646 405432 456111 495528 557469 608148 743292 912222 1114938 1216296 1368333 1486584 1672407 1824444 2229876 2736666 3344814 3648888 4459752 5017221 5473332 6689628 10034442 10946664 13379256 15051663 20068884 30103326 40137768 60206652 120413304