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141379920 = 243251117851
BaseRepresentation
bin10000110110101…
…00100101010000
3100212000211210100
420123110211100
5242143124140
622010132400
73334465233
oct1033244520
9325024710
10141379920
1172894910
123b421100
13233a1476
1414ac341a
15c62a530
hex86d4950

141379920 has 120 divisors (see below), whose sum is σ = 517993632. Its totient is φ = 34272000.

The previous prime is 141379891. The next prime is 141379943. The reversal of 141379920 is 29973141.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1006 + ... + 16845.

Almost surely, 2141379920 is an apocalyptic number.

141379920 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 141379920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258996816).

141379920 is an abundant number, since it is smaller than the sum of its proper divisors (376613712).

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

141379920 is a wasteful number, since it uses less digits than its factorization.

141379920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17881 (or 17872 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 141379920 is about 11890.3288432238. The cubic root of 141379920 is about 520.9498418537.

The spelling of 141379920 in words is "one hundred forty-one million, three hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 17851 35702 53553 71404 89255 107106 142808 160659 178510 196361 214212 267765 285616 321318 357020 392722 428424 535530 589083 642636 714040 785444 803295 856848 981805 1071060 1178166 1285272 1428080 1570888 1606590 1767249 1963610 2142120 2356332 2570544 2945415 3141776 3213180 3534498 3927220 4284240 4712664 5890830 6426360 7068996 7854440 8836245 9425328 11781660 12852720 14137992 15708880 17672490 23563320 28275984 35344980 47126640 70689960 141379920