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141141960 = 23335130687
BaseRepresentation
bin10000110100110…
…10011111001000
3100211120202101000
420122122133020
5242113020320
622001055000
73332454411
oct1032323710
9324522330
10141141960
1172742053
123b327460
132331a06b
1414a60808
15c5cec90
hex869a7c8

141141960 has 64 divisors (see below), whose sum is σ = 470476800. Its totient is φ = 37637568.

The previous prime is 141141941. The next prime is 141141971. The reversal of 141141960 is 69141141.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 64264 + ... + 66423.

It is an arithmetic number, because the mean of its divisors is an integer number (7351200).

Almost surely, 2141141960 is an apocalyptic number.

141141960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141141960 is an abundant number, since it is smaller than the sum of its proper divisors (329334840).

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

141141960 is a wasteful number, since it uses less digits than its factorization.

141141960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130707 (or 130697 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 141141960 is about 11880.3181775574. The cubic root of 141141960 is about 520.6574032502.

The spelling of 141141960 in words is "one hundred forty-one million, one hundred forty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 130687 261374 392061 522748 653435 784122 1045496 1176183 1306870 1568244 1960305 2352366 2613740 3136488 3528549 3920610 4704732 5227480 5880915 7057098 7841220 9409464 11761830 14114196 15682440 17642745 23523660 28228392 35285490 47047320 70570980 141141960