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120561630 = 235723109229
BaseRepresentation
bin1110010111110…
…01111111011110
322101212011110120
413023321333132
5221330433010
615544015410
72662520430
oct713717736
9271764416
10120561630
1162065812
1234461566
131bc92757
1412024650
15a8b6e70
hex72f9fde

120561630 has 128 divisors (see below), whose sum is σ = 349747200. Its totient is φ = 26002944.

The previous prime is 120561629. The next prime is 120561673. The reversal of 120561630 is 36165021.

It is a self number, because there is not a number n which added to its sum of digits gives 120561630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 526356 + ... + 526584.

It is an arithmetic number, because the mean of its divisors is an integer number (2732400).

Almost surely, 2120561630 is an apocalyptic number.

120561630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120561630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174873600).

120561630 is an abundant number, since it is smaller than the sum of its proper divisors (229185570).

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

120561630 is a wasteful number, since it uses less digits than its factorization.

120561630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 120561630 is about 10980.0560107861. The cubic root of 120561630 is about 494.0107167655.

It can be divided in two parts, 1205 and 61630, that added together give a triangular number (62835 = T354).

The spelling of 120561630 in words is "one hundred twenty million, five hundred sixty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 109 115 138 161 210 218 229 230 322 327 345 458 483 545 654 687 690 763 805 966 1090 1145 1374 1526 1603 1610 1635 2289 2290 2415 2507 3206 3270 3435 3815 4578 4809 4830 5014 5267 6870 7521 7630 8015 9618 10534 11445 12535 15042 15801 16030 17549 22890 24045 24961 25070 26335 31602 35098 36869 37605 48090 49922 52647 52670 73738 74883 75210 79005 87745 105294 110607 124805 149766 158010 174727 175490 184345 221214 249610 263235 349454 368690 374415 524181 526470 553035 574103 748830 873635 1048362 1106070 1148206 1722309 1747270 2620905 2870515 3444618 4018721 5241810 5741030 8037442 8611545 12056163 17223090 20093605 24112326 40187210 60280815 120561630