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120413700 = 2232521112163
BaseRepresentation
bin1110010110101…
…01111000000100
322101120122112200
413023111320010
5221311214300
615540514500
72661333231
oct713257004
9271518480
10120413700
1161a74660
12343aba30
131bc40314
1411dc6788
15a888200
hex72d5e04

120413700 has 108 divisors (see below), whose sum is σ = 411775728. Its totient is φ = 29188800.

The previous prime is 120413693. The next prime is 120413723. The reversal of 120413700 is 7314021.

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

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3819 + ... + 15981.

Almost surely, 2120413700 is an apocalyptic number.

120413700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120413700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205887864).

120413700 is an abundant number, since it is smaller than the sum of its proper divisors (291362028).

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

120413700 is a wasteful number, since it uses less digits than its factorization.

120413700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12194 (or 12184 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 120413700 is about 10973.3176387089. The cubic root of 120413700 is about 493.8085824845.

Adding to 120413700 its reverse (7314021), we get a palindrome (127727721).

The spelling of 120413700 in words is "one hundred twenty million, four hundred thirteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 12163 24326 36489 48652 60815 72978 109467 121630 133793 145956 182445 218934 243260 267586 304075 364890 401379 437868 535172 547335 608150 668965 729780 802758 912225 1094670 1204137 1216300 1337930 1605516 1824450 2006895 2189340 2408274 2675860 2736675 3344825 3648900 4013790 4816548 5473350 6020685 6689650 8027580 10034475 10946700 12041370 13379300 20068950 24082740 30103425 40137900 60206850 120413700