Search a number
-
+
123920064 = 263371713
BaseRepresentation
bin1110110001011…
…01111011000000
322122011210101000
413120231323000
5223210420224
620144012000
73033205662
oct730557300
9278153330
10123920064
1163a49a84
1235601000
131c89a2a8
141265a532
15ad2c0c9
hex762dec0

123920064 has 56 divisors (see below), whose sum is σ = 364307120. Its totient is φ = 41306112.

The previous prime is 123920057. The next prime is 123920101. The reversal of 123920064 is 460029321.

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 7 ways as a sum of consecutive naturals, for example, 34129 + ... + 37584.

Almost surely, 2123920064 is an apocalyptic number.

It is an amenable number.

123920064 is an abundant number, since it is smaller than the sum of its proper divisors (240387056).

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

123920064 is an equidigital number, since it uses as much as digits as its factorization.

123920064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71734 (or 71718 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 123920064 is about 11131.9389146725. The cubic root of 123920064 is about 498.5559186065. Note that the first 3 decimals are identical.

Adding to 123920064 its reverse (460029321), we get a palindrome (583949385).

The spelling of 123920064 in words is "one hundred twenty-three million, nine hundred twenty thousand, sixty-four".

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 71713 143426 215139 286852 430278 573704 645417 860556 1147408 1290834 1721112 1936251 2294816 2581668 3442224 3872502 4589632 5163336 6884448 7745004 10326672 13768896 15490008 20653344 30980016 41306688 61960032 123920064