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120073420 = 225411271153
BaseRepresentation
bin1110010100000…
…10110011001100
322100221100202201
413022002303030
5221214322140
615525331244
72655415165
oct712026314
9270840681
10120073420
1161861a35
1234266b24
131bb5147c
1411d3876c
15a81c49a
hex7282ccc

120073420 has 48 divisors (see below), whose sum is σ = 260563968. Its totient is φ = 46448640.

The previous prime is 120073417. The next prime is 120073441. The reversal of 120073420 is 24370021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103564 + ... + 104716.

It is an arithmetic number, because the mean of its divisors is an integer number (5428416).

Almost surely, 2120073420 is an apocalyptic number.

120073420 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 120073420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130281984).

120073420 is an abundant number, since it is smaller than the sum of its proper divisors (140490548).

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

120073420 is a wasteful number, since it uses less digits than its factorization.

120073420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 120073420 is about 10957.8017868549. The cubic root of 120073420 is about 493.3429884077.

The spelling of 120073420 in words is "one hundred twenty million, seventy-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 127 164 205 254 410 508 635 820 1153 1270 2306 2540 4612 5207 5765 10414 11530 20828 23060 26035 47273 52070 94546 104140 146431 189092 236365 292862 472730 585724 732155 945460 1464310 2928620 6003671 12007342 24014684 30018355 60036710 120073420