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141705040 = 24519531759
BaseRepresentation
bin10000111001000…
…11111101010000
3100212122100202211
420130203331100
5242234030130
622021121504
73340321141
oct1034437520
9325570684
10141705040
1172a97104
123b559294
1323486449
1414b69ac8
15c691a2a
hex8723f50

141705040 has 80 divisors (see below), whose sum is σ = 353548800. Its totient is φ = 52655616.

The previous prime is 141705037. The next prime is 141705041. The reversal of 141705040 is 40507141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1417050402 = 40160636722803200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141705041) by changing a digit.

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, 79681 + ... + 81439.

It is an arithmetic number, because the mean of its divisors is an integer number (4419360).

Almost surely, 2141705040 is an apocalyptic number.

141705040 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 141705040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176774400).

141705040 is an abundant number, since it is smaller than the sum of its proper divisors (211843760).

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

141705040 is a wasteful number, since it uses less digits than its factorization.

141705040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 141705040 is about 11903.9926075246. The cubic root of 141705040 is about 521.3488649220.

The spelling of 141705040 in words is "one hundred forty-one million, seven hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 53 76 80 95 106 152 190 212 265 304 380 424 530 760 848 1007 1060 1520 1759 2014 2120 3518 4028 4240 5035 7036 8056 8795 10070 14072 16112 17590 20140 28144 33421 35180 40280 66842 70360 80560 93227 133684 140720 167105 186454 267368 334210 372908 466135 534736 668420 745816 932270 1336840 1491632 1771313 1864540 2673680 3542626 3729080 7085252 7458160 8856565 14170504 17713130 28341008 35426260 70852520 141705040