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120402880 = 26513103281
BaseRepresentation
bin1110010110100…
…11001111000000
322101120002200221
413023103033000
5221310343010
615540352424
72661256543
oct713231700
9271502627
10120402880
1161a67514
12343a5714
131bc38410
1411dc285a
15a884dda
hex72d33c0

120402880 has 112 divisors (see below), whose sum is σ = 312871104. Its totient is φ = 43868160.

The previous prime is 120402839. The next prime is 120402883. The reversal of 120402880 is 88204021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120402883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428340 + ... + 428620.

It is an arithmetic number, because the mean of its divisors is an integer number (2793492).

Almost surely, 2120402880 is an apocalyptic number.

120402880 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 120402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156435552).

120402880 is an abundant number, since it is smaller than the sum of its proper divisors (192468224).

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

120402880 is a wasteful number, since it uses less digits than its factorization.

120402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 120402880 is about 10972.8246135624. The cubic root of 120402880 is about 493.7937913411.

The spelling of 120402880 in words is "one hundred twenty million, four hundred two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 103 104 130 160 206 208 260 281 320 412 416 515 520 562 824 832 1030 1040 1124 1339 1405 1648 2060 2080 2248 2678 2810 3296 3653 4120 4160 4496 5356 5620 6592 6695 7306 8240 8992 10712 11240 13390 14612 16480 17984 18265 21424 22480 26780 28943 29224 32960 36530 42848 44960 53560 57886 58448 73060 85696 89920 107120 115772 116896 144715 146120 214240 231544 233792 289430 292240 376259 428480 463088 578860 584480 752518 926176 1157720 1168960 1505036 1852352 1881295 2315440 3010072 3762590 4630880 6020144 7525180 9261760 12040288 15050360 24080576 30100720 60201440 120402880