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120523000 = 23531373127
BaseRepresentation
bin1110010111100…
…00100011111000
322101210012110211
413023300203320
5221323214000
615543120504
72662300003
oct713604370
9271705424
10120523000
1162039794
1234443134
131bc7acb0
141201453a
15a8aa7ba
hex72f08f8

120523000 has 128 divisors (see below), whose sum is σ = 310302720. Its totient is φ = 43545600.

The previous prime is 120522991. The next prime is 120523001. The reversal of 120523000 is 325021.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120523001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 948937 + ... + 949063.

It is an arithmetic number, because the mean of its divisors is an integer number (2424240).

Almost surely, 2120523000 is an apocalyptic number.

120523000 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 120523000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155151360).

120523000 is an abundant number, since it is smaller than the sum of its proper divisors (189779720).

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

120523000 is a wasteful number, since it uses less digits than its factorization.

120523000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 120523000 is about 10978.2967713576. The cubic root of 120523000 is about 493.9579479795.

Adding to 120523000 its reverse (325021), we get a palindrome (120848021).

The spelling of 120523000 in words is "one hundred twenty million, five hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 73 100 104 125 127 130 146 200 250 254 260 292 325 365 500 508 520 584 635 650 730 949 1000 1016 1270 1300 1460 1625 1651 1825 1898 2540 2600 2920 3175 3250 3302 3650 3796 4745 5080 6350 6500 6604 7300 7592 8255 9125 9271 9490 12700 13000 13208 14600 15875 16510 18250 18542 18980 23725 25400 31750 33020 36500 37084 37960 41275 46355 47450 63500 66040 73000 74168 82550 92710 94900 118625 120523 127000 165100 185420 189800 206375 231775 237250 241046 330200 370840 412750 463550 474500 482092 602615 825500 927100 949000 964184 1158875 1205230 1651000 1854200 2317750 2410460 3013075 4635500 4820920 6026150 9271000 12052300 15065375 24104600 30130750 60261500 120523000