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141908928 = 2637176211
BaseRepresentation
bin10000111010101…
…01101111000000
3100220000201110020
420131111233000
5242312041203
622025333440
73342130440
oct1035255700
9326021406
10141908928
1173116307
123b637280
13235281a5
1414bc0120
15c6d2153
hex8755bc0

141908928 has 112 divisors (see below), whose sum is σ = 454420224. Its totient is φ = 38154240.

The previous prime is 141908927. The next prime is 141908957. The reversal of 141908928 is 829809141.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×1419089283 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 141908928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141908927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19743 + ... + 25953.

Almost surely, 2141908928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141908928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227210112).

141908928 is an abundant number, since it is smaller than the sum of its proper divisors (312511296).

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

141908928 is a wasteful number, since it uses less digits than its factorization.

141908928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6250 (or 6240 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 141908928 is about 11912.5533786842. The cubic root of 141908928 is about 521.5987874312.

The spelling of 141908928 in words is "one hundred forty-one million, nine hundred eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 5712 6211 7616 11424 12422 18633 22848 24844 37266 43477 49688 74532 86954 99376 105587 130431 149064 173908 198752 211174 260862 298128 316761 347816 397504 422348 521724 596256 633522 695632 739109 844696 1043448 1192512 1267044 1391264 1478218 1689392 2086896 2217327 2534088 2782528 2956436 3378784 4173792 4434654 5068176 5912872 6757568 8347584 8869308 10136352 11825744 17738616 20272704 23651488 35477232 47302976 70954464 141908928