Search a number
-
+
119129772 = 223194711117
BaseRepresentation
bin1110001100111…
…00011010101100
322022011102022210
413012130122230
5220444123042
615453210420
72644405056
oct706343254
9268142283
10119129772
1161277a63
1233a90a10
131b8b0ab8
1411b708d6
15a6d2a9c
hex719c6ac

119129772 has 48 divisors (see below), whose sum is σ = 298851840. Its totient is φ = 36816192.

The previous prime is 119129729. The next prime is 119129779. The reversal of 119129772 is 277921911.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 119129772.

It is not an unprimeable number, because it can be changed into a prime (119129779) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5158 + ... + 16274.

It is an arithmetic number, because the mean of its divisors is an integer number (6226080).

Almost surely, 2119129772 is an apocalyptic number.

119129772 is a gapful number since it is divisible by the number (12) 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 119129772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149425920).

119129772 is an abundant number, since it is smaller than the sum of its proper divisors (179722068).

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

119129772 is a wasteful number, since it uses less digits than its factorization.

119129772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11190 (or 11188 counting only the distinct ones).

The product of its digits is 15876, while the sum is 39.

The square root of 119129772 is about 10914.6585837579. The cubic root of 119129772 is about 492.0472061256.

The spelling of 119129772 in words is "one hundred nineteen million, one hundred twenty-nine thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 38 47 57 76 94 114 141 188 228 282 564 893 1786 2679 3572 5358 10716 11117 22234 33351 44468 66702 133404 211223 422446 522499 633669 844892 1044998 1267338 1567497 2089996 2534676 3134994 6269988 9927481 19854962 29782443 39709924 59564886 119129772