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120472576 = 21076
BaseRepresentation
bin1110010111001…
…00010000000000
322101200122022021
413023210100000
5221320110301
615542051224
72662000000
oct713442000
9271618267
10120472576
1162004914
1234419b14
131bc61063
1412000000
15a89a8a1
hex72e4400

120472576 has 77 divisors (see below), whose sum is σ = 280965079. Its totient is φ = 51631104.

The previous prime is 120472553. The next prime is 120472579. The reversal of 120472576 is 675274021.

The square root of 120472576 is 10976.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120472579) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 17210365 + ... + 17210371.

Almost surely, 2120472576 is an apocalyptic number.

120472576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

120472576 is the 10976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120472576

120472576 is an abundant number, since it is smaller than the sum of its proper divisors (160492503).

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

120472576 is an frugal number, since it uses more digits than its factorization.

120472576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The cubic root of 120472576 is about 493.8890515588.

The spelling of 120472576 in words is "one hundred twenty million, four hundred seventy-two thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1024 1372 1568 1792 2401 2744 3136 3584 4802 5488 6272 7168 9604 10976 12544 16807 19208 21952 25088 33614 38416 43904 50176 67228 76832 87808 117649 134456 153664 175616 235298 268912 307328 351232 470596 537824 614656 941192 1075648 1229312 1882384 2151296 2458624 3764768 4302592 7529536 8605184 15059072 17210368 30118144 60236288 120472576