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141678252 = 2232231391231
BaseRepresentation
bin10000111000111…
…01011010101100
3100212121000000200
420130131122230
5242232201002
622020353500
73340150062
oct1034353254
9325530020
10141678252
1172a78a71
123b545890
13234771b1
1414b60032
15c688b1c
hex871d6ac

141678252 has 72 divisors (see below), whose sum is σ = 376696320. Its totient is φ = 44811360.

The previous prime is 141678241. The next prime is 141678259. The reversal of 141678252 is 252876141.

141678252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141678259) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114477 + ... + 115707.

Almost surely, 2141678252 is an apocalyptic number.

141678252 is a gapful number since it is divisible by the number (12) 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 141678252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188348160).

141678252 is an abundant number, since it is smaller than the sum of its proper divisors (235018068).

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

141678252 is a wasteful number, since it uses less digits than its factorization.

141678252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1398 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 141678252 is about 11902.8673856344. The cubic root of 141678252 is about 521.3160108247.

The spelling of 141678252 in words is "one hundred forty-one million, six hundred seventy-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 139 207 276 278 414 417 556 828 834 1231 1251 1668 2462 2502 3197 3693 4924 5004 6394 7386 9591 11079 12788 14772 19182 22158 28313 28773 38364 44316 56626 57546 84939 113252 115092 169878 171109 254817 339756 342218 509634 513327 684436 1019268 1026654 1539981 2053308 3079962 3935507 6159924 7871014 11806521 15742028 23613042 35419563 47226084 70839126 141678252