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120046368 = 25313432237
BaseRepresentation
bin1110010011111…
…00001100100000
322100212222122210
413021330030200
5221212440433
615525002120
72655243261
oct711741440
9270788583
10120046368
1161843682
1234253340
131bb42070
1411d2c968
15a814463
hex727c320

120046368 has 96 divisors (see below), whose sum is σ = 347409216. Its totient is φ = 36062208.

The previous prime is 120046363. The next prime is 120046393. The reversal of 120046368 is 863640021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1200463682 = 28822260939982848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (120046363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52546 + ... + 54782.

It is an arithmetic number, because the mean of its divisors is an integer number (3618846).

Almost surely, 2120046368 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 120046368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173704608).

120046368 is an abundant number, since it is smaller than the sum of its proper divisors (227362848).

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

120046368 is a wasteful number, since it uses less digits than its factorization.

120046368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 120046368 is about 10956.5673456608. The cubic root of 120046368 is about 493.3059363083.

Adding to 120046368 its reverse (863640021), we get a palindrome (983686389).

The spelling of 120046368 in words is "one hundred twenty million, forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 78 86 96 104 129 156 172 208 258 312 344 416 516 559 624 688 1032 1118 1248 1376 1677 2064 2236 2237 3354 4128 4472 4474 6708 6711 8944 8948 13416 13422 17888 17896 26832 26844 29081 35792 53664 53688 58162 71584 87243 96191 107376 116324 174486 192382 214752 232648 288573 348972 384764 465296 577146 697944 769528 930592 1154292 1250483 1395888 1539056 2308584 2500966 2791776 3078112 3751449 4617168 5001932 7502898 9234336 10003864 15005796 20007728 30011592 40015456 60023184 120046368