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120066700 = 225213194861
BaseRepresentation
bin1110010100000…
…01001010001100
322100221000112211
413022001022030
5221214113300
615525240204
72655356455
oct712011214
9270830484
10120066700
1161857986
1234263064
131bb4b3b0
1411d3612c
15a81a4ba
hex728128c

120066700 has 72 divisors (see below), whose sum is σ = 295415120. Its totient is φ = 41990400.

The previous prime is 120066673. The next prime is 120066703. The reversal of 120066700 is 7660021.

It is not an unprimeable number, because it can be changed into a prime (120066703) by changing a digit.

It is a nontrivial repunit in base 493.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22270 + ... + 27130.

Almost surely, 2120066700 is an apocalyptic number.

120066700 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 120066700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147707560).

120066700 is an abundant number, since it is smaller than the sum of its proper divisors (175348420).

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

120066700 is a wasteful number, since it uses less digits than its factorization.

120066700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4907 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 120066700 is about 10957.4951517215. The cubic root of 120066700 is about 493.3337847979. Note that the first 3 decimals are identical.

The spelling of 120066700 in words is "one hundred twenty million, sixty-six thousand, seven hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 380 475 494 650 950 988 1235 1300 1900 2470 4861 4940 6175 9722 12350 19444 24305 24700 48610 63193 92359 97220 121525 126386 184718 243050 252772 315965 369436 461795 486100 631930 923590 1200667 1263860 1579825 1847180 2308975 2401334 3159650 4617950 4802668 6003335 6319300 9235900 12006670 24013340 30016675 60033350 120066700