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141538480 = 24589103193
BaseRepresentation
bin10000110111110…
…11010010110000
3100212022220021221
420123323102300
5242213212410
622013354424
73336025426
oct1033732260
9325286257
10141538480
1172992a56
123b498a14
13234286a5
1414b25116
15c65c4da
hex86fb4b0

141538480 has 80 divisors (see below), whose sum is σ = 337746240. Its totient is φ = 55148544.

The previous prime is 141538469. The next prime is 141538493. The reversal of 141538480 is 84835141.

141538480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733264 + ... + 733456.

It is an arithmetic number, because the mean of its divisors is an integer number (4221828).

Almost surely, 2141538480 is an apocalyptic number.

141538480 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 141538480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168873120).

141538480 is an abundant number, since it is smaller than the sum of its proper divisors (196207760).

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

141538480 is a wasteful number, since it uses less digits than its factorization.

141538480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 141538480 is about 11896.9945784639. The cubic root of 141538480 is about 521.1445204813.

The spelling of 141538480 in words is "one hundred forty-one million, five hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 103 178 193 206 356 386 412 445 515 712 772 824 890 965 1030 1424 1544 1648 1780 1930 2060 3088 3560 3860 4120 7120 7720 8240 9167 15440 17177 18334 19879 34354 36668 39758 45835 68708 73336 79516 85885 91670 99395 137416 146672 159032 171770 183340 198790 274832 318064 343540 366680 397580 687080 733360 795160 1374160 1590320 1769231 3538462 7076924 8846155 14153848 17692310 28307696 35384620 70769240 141538480