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141192920 = 235111072999
BaseRepresentation
bin10000110101001…
…10111011011000
3100211200100021102
420122212323120
5242121133140
622002130532
73333056111
oct1032467330
9324610242
10141192920
1172777370
123b350a48
132333730b
1414a75208
15c5dee15
hex86a6ed8

141192920 has 64 divisors (see below), whose sum is σ = 349920000. Its totient is φ = 50846080.

The previous prime is 141192917. The next prime is 141192923. The reversal of 141192920 is 29291141.

141192920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141192917) and next prime (141192923).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141192923) 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, 45581 + ... + 48579.

It is an arithmetic number, because the mean of its divisors is an integer number (5467500).

Almost surely, 2141192920 is an apocalyptic number.

141192920 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 141192920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174960000).

141192920 is an abundant number, since it is smaller than the sum of its proper divisors (208727080).

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

141192920 is a wasteful number, since it uses less digits than its factorization.

141192920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 141192920 is about 11882.4627077050. The cubic root of 141192920 is about 520.7200576838.

The spelling of 141192920 in words is "one hundred forty-one million, one hundred ninety-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 107 110 214 220 428 440 535 856 1070 1177 2140 2354 2999 4280 4708 5885 5998 9416 11770 11996 14995 23540 23992 29990 32989 47080 59980 65978 119960 131956 164945 263912 320893 329890 641786 659780 1283572 1319560 1604465 2567144 3208930 3529823 6417860 7059646 12835720 14119292 17649115 28238584 35298230 70596460 141192920