Search a number
-
+
122028032 = 2177219
BaseRepresentation
bin1110100011000…
…00000000000000
322111121122222202
413101200000000
5222214344112
620035252332
73011135600
oct721400000
9274548882
10122028032
1162977515
1234a4a0a8
131c387049
14122c6c00
15aaa66c2
hex7460000

122028032 has 108 divisors (see below), whose sum is σ = 298843020. Its totient is φ = 49545216.

The previous prime is 122028019. The next prime is 122028097. The reversal of 122028032 is 230820221.

It is a junction number, because it is equal to n+sod(n) for n = 122027995 and 122028013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6422519 + ... + 6422537.

It is an arithmetic number, because the mean of its divisors is an integer number (2767065).

Almost surely, 2122028032 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 122028032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149421510).

122028032 is an abundant number, since it is smaller than the sum of its proper divisors (176814988).

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

122028032 is an frugal number, since it uses more digits than its factorization.

122028032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 122028032 is about 11046.6298933204. The cubic root of 122028032 is about 496.0055497124.

Adding to 122028032 its reverse (230820221), we get a palindrome (352848253).

The spelling of 122028032 in words is "one hundred twenty-two million, twenty-eight thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 224 256 266 304 392 448 512 532 608 784 896 931 1024 1064 1216 1568 1792 1862 2048 2128 2432 3136 3584 3724 4096 4256 4864 6272 7168 7448 8192 8512 9728 12544 14336 14896 16384 17024 19456 25088 28672 29792 32768 34048 38912 50176 57344 59584 65536 68096 77824 100352 114688 119168 131072 136192 155648 200704 229376 238336 272384 311296 401408 458752 476672 544768 622592 802816 917504 953344 1089536 1245184 1605632 1906688 2179072 2490368 3211264 3813376 4358144 6422528 7626752 8716288 15253504 17432576 30507008 61014016 122028032