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120494080 = 21157412
BaseRepresentation
bin1110010111010…
…01100000000000
322101201201210201
413023221200000
5221321302310
615542334544
72662116460
oct713514000
9271651721
10120494080
1162019a93
123442a454
131bc6aa95
1412007ba0
15a8a1e3a
hex72e9800

120494080 has 144 divisors (see below), whose sum is σ = 338672880. Its totient is φ = 40304640.

The previous prime is 120494071. The next prime is 120494081. The reversal of 120494080 is 80494021.

120494080 = 1243 + 1253 + ... + 1633.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120494081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2938860 + ... + 2938900.

It is an arithmetic number, because the mean of its divisors is an integer number (2351895).

Almost surely, 2120494080 is an apocalyptic number.

120494080 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 120494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169336440).

120494080 is an abundant number, since it is smaller than the sum of its proper divisors (218178800).

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

120494080 is an frugal number, since it uses more digits than its factorization.

120494080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 120494080 is about 10976.9795481271. The cubic root of 120494080 is about 493.9184357242.

It can be divided in two parts, 12049 and 4080, that added together give a square (16129 = 1272).

The spelling of 120494080 in words is "one hundred twenty million, four hundred ninety-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 112 128 140 160 164 205 224 256 280 287 320 328 410 448 512 560 574 640 656 820 896 1024 1120 1148 1280 1312 1435 1640 1681 1792 2048 2240 2296 2560 2624 2870 3280 3362 3584 4480 4592 5120 5248 5740 6560 6724 7168 8405 8960 9184 10240 10496 11480 11767 13120 13448 14336 16810 17920 18368 20992 22960 23534 26240 26896 33620 35840 36736 41984 45920 47068 52480 53792 58835 67240 71680 73472 83968 91840 94136 104960 107584 117670 134480 146944 183680 188272 209920 215168 235340 268960 293888 367360 376544 419840 430336 470680 537920 587776 734720 753088 860672 941360 1075840 1469440 1506176 1721344 1882720 2151680 2938880 3012352 3442688 3765440 4303360 6024704 7530880 8606720 12049408 15061760 17213440 24098816 30123520 60247040 120494080