Search a number
-
+
141053020 = 225232391283
BaseRepresentation
bin10000110100001…
…00110001011100
3100211102020100221
420122010301130
5242102144040
621555131124
73331634203
oct1032046134
9324366327
10141053020
1172691249
123b2a3aa4
13232b8734
1414a3a23a
15c5b374a
hex8684c5c

141053020 has 48 divisors (see below), whose sum is σ = 310625280. Its totient is φ = 53700416.

The previous prime is 141052993. The next prime is 141053047. The reversal of 141053020 is 20350141.

It is an interprime number because it is at equal distance from previous prime (141052993) and next prime (141053047).

It is a super-3 number, since 3×1410530203 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 141052985 and 141053003.

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, 109299 + ... + 110581.

It is an arithmetic number, because the mean of its divisors is an integer number (6471360).

Almost surely, 2141053020 is an apocalyptic number.

141053020 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 141053020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155312640).

141053020 is an abundant number, since it is smaller than the sum of its proper divisors (169572260).

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

141053020 is a wasteful number, since it uses less digits than its factorization.

141053020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 141053020 is about 11876.5744219451. The cubic root of 141053020 is about 520.5480169283.

The spelling of 141053020 in words is "one hundred forty-one million, fifty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 239 460 478 956 1195 1283 2390 2566 4780 5132 5497 6415 10994 12830 21988 25660 27485 29509 54970 59018 109940 118036 147545 295090 306637 590180 613274 1226548 1533185 3066370 6132740 7052651 14105302 28210604 35263255 70526510 141053020