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141517920 = 2535294829
BaseRepresentation
bin10000110111101…
…10010001100000
3100212021212002110
420123312101200
5242212033140
622013115320
73335611455
oct1033662140
9325255073
10141517920
1172979565
123b488b40
132341c21b
1414b1b82c
15c656380
hex86f6460

141517920 has 48 divisors (see below), whose sum is σ = 445782960. Its totient is φ = 37737984.

The previous prime is 141517913. The next prime is 141517939. The reversal of 141517920 is 29715141.

141517920 is digitally balanced in base 3, 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 (48).

It is a super-2 number, since 2×1415179202 = 40054643362252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146935 + ... + 147894.

It is an arithmetic number, because the mean of its divisors is an integer number (9287145).

Almost surely, 2141517920 is an apocalyptic number.

141517920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141517920 is an abundant number, since it is smaller than the sum of its proper divisors (304265040).

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

141517920 is a wasteful number, since it uses less digits than its factorization.

141517920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294847 (or 294839 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 141517920 is about 11896.1304633061. The cubic root of 141517920 is about 521.1192852939.

The spelling of 141517920 in words is "one hundred forty-one million, five hundred seventeen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 294829 589658 884487 1179316 1474145 1768974 2358632 2948290 3537948 4422435 4717264 5896580 7075896 8844870 9434528 11793160 14151792 17689740 23586320 28303584 35379480 47172640 70758960 141517920