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120700020 = 22357893229
BaseRepresentation
bin1110011000110…
…11110001110100
322102010012022010
413030123301310
5221344400040
615551004220
72663635050
oct714336164
9272105263
10120700020
116214a791
1234509670
131c01073c
141205cc60
15a8e2e80
hex731bc74

120700020 has 96 divisors (see below), whose sum is σ = 390700800. Its totient is φ = 27270144.

The previous prime is 120700009. The next prime is 120700037. The reversal of 120700020 is 20007021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120699969 and 120700005.

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, 35766 + ... + 38994.

It is an arithmetic number, because the mean of its divisors is an integer number (4069800).

Almost surely, 2120700020 is an apocalyptic number.

120700020 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 120700020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350400).

120700020 is an abundant number, since it is smaller than the sum of its proper divisors (270000780).

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

120700020 is a wasteful number, since it uses less digits than its factorization.

120700020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 120700020 is about 10986.3560837978. The cubic root of 120700020 is about 494.1996657734.

Adding to 120700020 its reverse (20007021), we get a palindrome (140707041).

The spelling of 120700020 in words is "one hundred twenty million, seven hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 89 105 140 178 210 267 356 420 445 534 623 890 1068 1246 1335 1780 1869 2492 2670 3115 3229 3738 5340 6230 6458 7476 9345 9687 12460 12916 16145 18690 19374 22603 32290 37380 38748 45206 48435 64580 67809 90412 96870 113015 135618 193740 226030 271236 287381 339045 452060 574762 678090 862143 1149524 1356180 1436905 1724286 2011667 2873810 3448572 4023334 4310715 5747620 6035001 8046668 8621430 10058335 12070002 17242860 20116670 24140004 30175005 40233340 60350010 120700020