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141045360 = 24351930931
BaseRepresentation
bin10000110100000…
…10111001110000
3100211101211212020
420122002321300
5242101422420
621555031440
73331602651
oct1032027160
9324354766
10141045360
1172686515
123b29b580
13232b50c1
1414a37528
15c5b1340
hex8682e70

141045360 has 80 divisors (see below), whose sum is σ = 460268160. Its totient is φ = 35631360.

The previous prime is 141045347. The next prime is 141045397. The reversal of 141045360 is 63540141.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 141045360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10906 + ... + 20025.

It is an arithmetic number, because the mean of its divisors is an integer number (5753352).

Almost surely, 2141045360 is an apocalyptic number.

141045360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141045360 is an abundant number, since it is smaller than the sum of its proper divisors (319222800).

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

141045360 is a wasteful number, since it uses less digits than its factorization.

141045360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30966 (or 30960 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 141045360 is about 11876.2519340068. The cubic root of 141045360 is about 520.5385938286.

The spelling of 141045360 in words is "one hundred forty-one million, forty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 30931 61862 92793 123724 154655 185586 247448 309310 371172 463965 494896 587689 618620 742344 927930 1175378 1237240 1484688 1763067 1855860 2350756 2474480 2938445 3526134 3711720 4701512 5876890 7052268 7423440 8815335 9403024 11753780 14104536 17630670 23507560 28209072 35261340 47015120 70522680 141045360