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120628644 = 223193171669
BaseRepresentation
bin1110011000010…
…10010110100100
322101222120101120
413030022112210
5221340104034
615545253540
72663220003
oct714122644
9271876346
10120628644
11621010a4
12344942b0
131bcb70c6
1412040c3a
15a8cbc49
hex730a5a4

120628644 has 48 divisors (see below), whose sum is σ = 297393600. Its totient is φ = 37950336.

The previous prime is 120628633. The next prime is 120628679. The reversal of 120628644 is 446826021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71442 + ... + 73110.

It is an arithmetic number, because the mean of its divisors is an integer number (6195700).

Almost surely, 2120628644 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 120628644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148696800).

120628644 is an abundant number, since it is smaller than the sum of its proper divisors (176764956).

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

120628644 is a wasteful number, since it uses less digits than its factorization.

120628644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 120628644 is about 10983.1072106212. The cubic root of 120628644 is about 494.1022315152.

It can be divided in two parts, 12062 and 8644, that added together give a triangular number (20706 = T203).

The spelling of 120628644 in words is "one hundred twenty million, six hundred twenty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 317 634 951 1268 1669 1902 3338 3804 5007 6023 6676 10014 12046 18069 20028 24092 31711 36138 63422 72276 95133 126844 190266 380532 529073 1058146 1587219 2116292 3174438 6348876 10052387 20104774 30157161 40209548 60314322 120628644