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141541920 = 25325137561
BaseRepresentation
bin10000110111111…
…00001000100000
3100212100002000100
420123330020200
5242213320140
622013422400
73336041442
oct1033741040
9325302010
10141541920
11729955a3
123b49aa00
132342a120
1414b26492
15c65d530
hex86fc220

141541920 has 144 divisors (see below), whose sum is σ = 520235352. Its totient is φ = 34836480.

The previous prime is 141541919. The next prime is 141541921. The reversal of 141541920 is 29145141.

It is an interprime number because it is at equal distance from previous prime (141541919) and next prime (141541921).

It can be written as a sum of positive squares in 4 ways, for example, as 69155856 + 72386064 = 8316^2 + 8508^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (141541921) by changing a digit.

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, 14940 + ... + 22500.

Almost surely, 2141541920 is an apocalyptic number.

141541920 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 141541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260117676).

141541920 is an abundant number, since it is smaller than the sum of its proper divisors (378693432).

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

141541920 is a wasteful number, since it uses less digits than its factorization.

141541920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7595 (or 7584 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 141541920 is about 11897.1391519138. The cubic root of 141541920 is about 521.1487424724.

The spelling of 141541920 in words is "one hundred forty-one million, five hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 7561 9360 15122 18720 22683 30244 37805 45366 60488 68049 75610 90732 98293 113415 120976 136098 151220 181464 196586 226830 241952 272196 294879 302440 340245 362928 393172 453660 491465 544392 589758 604880 680490 725856 786344 884637 907320 982930 1088784 1179516 1209760 1360980 1474395 1572688 1769274 1814640 1965860 2177568 2359032 2721960 2948790 3145376 3538548 3629280 3931720 4423185 4718064 5443920 5897580 7077096 7863440 8846370 9436128 10887840 11795160 14154192 15726880 17692740 23590320 28308384 35385480 47180640 70770960 141541920