Search a number
-
+
120472704 = 2733113169
BaseRepresentation
bin1110010111001…
…00010010000000
322101200122111000
413023210102000
5221320111304
615542052000
72662000242
oct713442200
9271618430
10120472704
1162004a20
123441a000
131bc61131
1412000092
15a89a939
hex72e4480

120472704 has 128 divisors (see below), whose sum is σ = 388008000. Its totient is φ = 36495360.

The previous prime is 120472697. The next prime is 120472717. The reversal of 120472704 is 407274021.

It is a happy number.

120472704 is a `hidden beast` number, since 120 + 472 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 36432 + ... + 39600.

Almost surely, 2120472704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120472704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194004000).

120472704 is an abundant number, since it is smaller than the sum of its proper divisors (267535296).

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

120472704 is a wasteful number, since it uses less digits than its factorization.

120472704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 120472704 is about 10976.0058309022. The cubic root of 120472704 is about 493.8892264749.

The spelling of 120472704 in words is "one hundred twenty million, four hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3169 3456 4224 4752 6336 6338 9504 9507 12672 12676 19008 19014 25352 28521 34859 38016 38028 50704 57042 69718 76056 85563 101408 104577 114084 139436 152112 171126 202816 209154 228168 278872 304224 313731 342252 405632 418308 456336 557744 608448 627462 684504 836616 912672 941193 1115488 1216896 1254924 1369008 1673232 1825344 1882386 2230976 2509848 2738016 3346464 3650688 3764772 4461952 5019696 5476032 6692928 7529544 10039392 10952064 13385856 15059088 20078784 30118176 40157568 60236352 120472704