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141992820 = 22325788849
BaseRepresentation
bin10000111011010…
…10001101110100
3100220011222112100
420131222031310
5242322232240
622031222100
73342630144
oct1035521564
9326158470
10141992820
1173173342
123b677930
1323557428
1414c02924
15c6ebe30
hex876a374

141992820 has 36 divisors (see below), whose sum is σ = 430712100. Its totient is φ = 37864704.

The previous prime is 141992779. The next prime is 141992821. The reversal of 141992820 is 28299141.

141992820 is digitally balanced in base 2, base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 50637456 + 91355364 = 7116^2 + 9558^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

141992820 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141992821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394245 + ... + 394604.

It is an arithmetic number, because the mean of its divisors is an integer number (11964225).

Almost surely, 2141992820 is an apocalyptic number.

141992820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141992820 is an abundant number, since it is smaller than the sum of its proper divisors (288719280).

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

141992820 is a wasteful number, since it uses less digits than its factorization.

141992820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788864 (or 788859 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 141992820 is about 11916.0740178970. The cubic root of 141992820 is about 521.7015513332.

The spelling of 141992820 in words is "one hundred forty-one million, nine hundred ninety-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 788849 1577698 2366547 3155396 3944245 4733094 7099641 7888490 9466188 11832735 14199282 15776980 23665470 28398564 35498205 47330940 70996410 141992820