Search a number
-
+
122104040 = 23531591669
BaseRepresentation
bin1110100011100…
…10100011101000
322111202112020212
413101302203220
5222224312130
620041040252
73011603312
oct721624350
9274675225
10122104040
1162a19633
1234a86088
131c3b2816
14123067b2
15aabde95
hex74728e8

122104040 has 64 divisors (see below), whose sum is σ = 288576000. Its totient is φ = 46437120.

The previous prime is 122104019. The next prime is 122104061. The reversal of 122104040 is 40401221.

It is an interprime number because it is at equal distance from previous prime (122104019) and next prime (122104061).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72326 + ... + 73994.

It is an arithmetic number, because the mean of its divisors is an integer number (4509000).

Almost surely, 2122104040 is an apocalyptic number.

122104040 is a gapful number since it is divisible by the number (10) 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 122104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144288000).

122104040 is an abundant number, since it is smaller than the sum of its proper divisors (166471960).

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

122104040 is a wasteful number, since it uses less digits than its factorization.

122104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 122104040 is about 11050.0696830382. The cubic root of 122104040 is about 496.1085112052.

Adding to 122104040 its reverse (40401221), we get a palindrome (162505261).

The spelling of 122104040 in words is "one hundred twenty-two million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 59 62 118 124 155 236 248 295 310 472 590 620 1180 1240 1669 1829 2360 3338 3658 6676 7316 8345 9145 13352 14632 16690 18290 33380 36580 51739 66760 73160 98471 103478 196942 206956 258695 393884 413912 492355 517390 787768 984710 1034780 1969420 2069560 3052601 3938840 6105202 12210404 15263005 24420808 30526010 61052020 122104040