Search a number
-
+
141294200 = 23524117231
BaseRepresentation
bin10000110101111…
…11101001111000
3100211212111012112
420122333221320
5242132403300
622004231452
73333660305
oct1032775170
9324774175
10141294200
1172836473
123b39b588
1323371448
1414aa00ac
15c60ee35
hex86bfa78

141294200 has 48 divisors (see below), whose sum is σ = 336540960. Its totient is φ = 55136000.

The previous prime is 141294199. The next prime is 141294217. The reversal of 141294200 is 2492141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416 + ... + 16815.

It is an arithmetic number, because the mean of its divisors is an integer number (7011270).

Almost surely, 2141294200 is an apocalyptic number.

141294200 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 141294200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168270480).

141294200 is an abundant number, since it is smaller than the sum of its proper divisors (195246760).

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

141294200 is a wasteful number, since it uses less digits than its factorization.

141294200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17288 (or 17279 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 141294200 is about 11886.7236865336. The cubic root of 141294200 is about 520.8445349413.

The spelling of 141294200 in words is "one hundred forty-one million, two hundred ninety-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 17231 34462 68924 86155 137848 172310 344620 430775 689240 706471 861550 1412942 1723100 2825884 3446200 3532355 5651768 7064710 14129420 17661775 28258840 35323550 70647100 141294200