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120713628 = 223731151307
BaseRepresentation
bin1110011000111…
…11000110011100
322102010212222010
413030133012130
5221400314003
615551151220
72664022530
oct714370634
9272125863
10120713628
1162159a32
1234515510
131c0169a9
1412063bc0
15a8e7003
hex731f19c

120713628 has 96 divisors (see below), whose sum is σ = 335577088. Its totient is φ = 33048000.

The previous prime is 120713569. The next prime is 120713641. The reversal of 120713628 is 826317021.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 120713595 and 120713604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393051 + ... + 393357.

Almost surely, 2120713628 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 120713628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167788544).

120713628 is an abundant number, since it is smaller than the sum of its proper divisors (214863460).

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

120713628 is a wasteful number, since it uses less digits than its factorization.

120713628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 120713628 is about 10986.9753799670. The cubic root of 120713628 is about 494.2182374807.

The spelling of 120713628 in words is "one hundred twenty million, seven hundred thirteen thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 151 186 217 302 307 372 434 453 604 614 651 868 906 921 1057 1228 1302 1812 1842 2114 2149 2604 3171 3684 4228 4298 4681 6342 6447 8596 9362 9517 12684 12894 14043 18724 19034 25788 28086 28551 32767 38068 46357 56172 57102 65534 66619 92714 98301 114204 131068 133238 139071 185428 196602 199857 266476 278142 324499 393204 399714 556284 648998 799428 973497 1297996 1437067 1946994 2874134 3893988 4311201 5748268 8622402 10059469 17244804 20118938 30178407 40237876 60356814 120713628