Search a number
-
+
120401856 = 263369677
BaseRepresentation
bin1110010110100…
…10111111000000
322101120001022000
413023102333000
5221310324411
615540344000
72661253551
oct713227700
9271501260
10120401856
1161a66773
12343a5000
131bc37b03
1411dc2328
15a884956
hex72d2fc0

120401856 has 56 divisors (see below), whose sum is σ = 353964240. Its totient is φ = 40133376.

The previous prime is 120401851. The next prime is 120401863. The reversal of 120401856 is 658104021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120401851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33111 + ... + 36566.

It is an arithmetic number, because the mean of its divisors is an integer number (6320790).

Almost surely, 2120401856 is an apocalyptic number.

120401856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120401856 is an abundant number, since it is smaller than the sum of its proper divisors (233562384).

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

120401856 is an equidigital number, since it uses as much as digits as its factorization.

120401856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69698 (or 69682 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 120401856 is about 10972.7779527338. Note that the first 3 decimals coincide. The cubic root of 120401856 is about 493.7923914679.

Adding to 120401856 its reverse (658104021), we get a palindrome (778505877).

The spelling of 120401856 in words is "one hundred twenty million, four hundred one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 69677 139354 209031 278708 418062 557416 627093 836124 1114832 1254186 1672248 1881279 2229664 2508372 3344496 3762558 4459328 5016744 6688992 7525116 10033488 13377984 15050232 20066976 30100464 40133952 60200928 120401856