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141052120 = 235112151193
BaseRepresentation
bin10000110100001…
…00100011011000
3100211102012010121
420122010203120
5242102131440
621555123024
73331631446
oct1032044330
9324365117
10141052120
1172690600
123b2a3474
13232b81c1
1414a39b96
15c5b334a
hex86848d8

141052120 has 96 divisors (see below), whose sum is σ = 352971360. Its totient is φ = 50688000.

The previous prime is 141052099. The next prime is 141052127. The reversal of 141052120 is 21250141.

It is a junction number, because it is equal to n+sod(n) for n = 141052094 and 141052103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141052127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 730744 + ... + 730936.

It is an arithmetic number, because the mean of its divisors is an integer number (3676785).

Almost surely, 2141052120 is an apocalyptic number.

141052120 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 141052120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176485680).

141052120 is an abundant number, since it is smaller than the sum of its proper divisors (211919240).

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

141052120 is a wasteful number, since it uses less digits than its factorization.

141052120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 141052120 is about 11876.5365321713. The cubic root of 141052120 is about 520.5469097933.

The spelling of 141052120 in words is "one hundred forty-one million, fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 151 193 220 242 302 386 440 484 604 605 755 772 965 968 1208 1210 1510 1544 1661 1930 2123 2420 3020 3322 3860 4246 4840 6040 6644 7720 8305 8492 10615 13288 16610 16984 18271 21230 23353 29143 33220 36542 42460 46706 58286 66440 73084 84920 91355 93412 116572 116765 145715 146168 182710 186824 233144 233530 291430 320573 365420 467060 582860 641146 730840 934120 1165720 1282292 1602865 2564584 3205730 3526303 6411460 7052606 12822920 14105212 17631515 28210424 35263030 70526060 141052120