Search a number
-
+
120715272 = 2334311599
BaseRepresentation
bin1110011000111…
…11100000001000
322102010222020000
413030133200020
5221400342042
615551203000
72664030366
oct714374010
9272128200
10120715272
1162160197
1234516460
131c017672
1412064636
15a8e774c
hex731f808

120715272 has 80 divisors (see below), whose sum is σ = 339768000. Its totient is φ = 40042080.

The previous prime is 120715267. The next prime is 120715327. The reversal of 120715272 is 272517021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 201229 + ... + 201827.

It is an arithmetic number, because the mean of its divisors is an integer number (4247100).

Almost surely, 2120715272 is an apocalyptic number.

120715272 is a gapful number since it is divisible by the number (12) 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 120715272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169884000).

120715272 is an abundant number, since it is smaller than the sum of its proper divisors (219052728).

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

120715272 is a wasteful number, since it uses less digits than its factorization.

120715272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 120715272 is about 10987.0501955711. The cubic root of 120715272 is about 494.2204810581.

The spelling of 120715272 in words is "one hundred twenty million, seven hundred fifteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 311 324 599 622 648 933 1198 1244 1797 1866 2396 2488 2799 3594 3732 4792 5391 5598 7188 7464 8397 10782 11196 14376 16173 16794 21564 22392 25191 32346 33588 43128 48519 50382 64692 67176 97038 100764 129384 186289 194076 201528 372578 388152 558867 745156 1117734 1490312 1676601 2235468 3353202 4470936 5029803 6706404 10059606 13412808 15089409 20119212 30178818 40238424 60357636 120715272