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120000420 = 22335613643
BaseRepresentation
bin1110010011100…
…00111110100100
322100210122122000
413021300332210
5221210003140
615524005300
72654662311
oct711607644
9270718560
10120000420
1161812101
1234230830
131bb27187
1411d19d08
15a805a30
hex7270fa4

120000420 has 96 divisors (see below), whose sum is σ = 379559040. Its totient is φ = 31466880.

The previous prime is 120000403. The next prime is 120000449. The reversal of 120000420 is 24000021.

It is a Harshad number since it is a multiple of its sum of digits (9).

120000420 is a modest number, since divided by 420 gives 120 as remainder.

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, 31119 + ... + 34761.

It is an arithmetic number, because the mean of its divisors is an integer number (3953740).

Almost surely, 2120000420 is an apocalyptic number.

120000420 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 120000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189779520).

120000420 is an abundant number, since it is smaller than the sum of its proper divisors (259558620).

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

120000420 is a wasteful number, since it uses less digits than its factorization.

120000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3722 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 120000420 is about 10954.4703203761. The cubic root of 120000420 is about 493.2429903149.

Adding to 120000420 its reverse (24000021), we get a palindrome (144000441).

The spelling of 120000420 in words is "one hundred twenty million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 108 122 135 180 183 244 270 305 366 540 549 610 732 915 1098 1220 1647 1830 2196 2745 3294 3643 3660 5490 6588 7286 8235 10929 10980 14572 16470 18215 21858 32787 32940 36430 43716 54645 65574 72860 98361 109290 131148 163935 196722 218580 222223 327870 393444 444446 491805 655740 666669 888892 983610 1111115 1333338 1967220 2000007 2222230 2666676 3333345 4000014 4444460 6000021 6666690 8000028 10000035 12000042 13333380 20000070 24000084 30000105 40000140 60000210 120000420