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134862432 = 25323103593
BaseRepresentation
bin10000000100111…
…01011001100000
3100101202201110220
420002131121200
5234011044212
621214323040
73225211635
oct1002353140
9311681426
10134862432
116a143161
12391b9480
1321c2ba73
1413ca818c
15bc8e38c
hex809d660

134862432 has 96 divisors (see below), whose sum is σ = 373621248. Its totient is φ = 42510336.

The previous prime is 134862421. The next prime is 134862439. The reversal of 134862432 is 234268431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 134862393 and 134862402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134862439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227128 + ... + 227720.

It is an arithmetic number, because the mean of its divisors is an integer number (3891888).

Almost surely, 2134862432 is an apocalyptic number.

134862432 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 134862432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186810624).

134862432 is an abundant number, since it is smaller than the sum of its proper divisors (238758816).

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

134862432 is a wasteful number, since it uses less digits than its factorization.

134862432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 724 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 134862432 is about 11613.0285455604. The cubic root of 134862432 is about 512.8184744322.

The spelling of 134862432 in words is "one hundred thirty-four million, eight hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 103 138 184 206 276 309 368 412 552 593 618 736 824 1104 1186 1236 1648 1779 2208 2369 2372 2472 3296 3558 4738 4744 4944 7107 7116 9476 9488 9888 13639 14214 14232 18952 18976 27278 28428 28464 37904 40917 54556 56856 56928 61079 75808 81834 109112 113712 122158 163668 183237 218224 227424 244316 327336 366474 436448 488632 654672 732948 977264 1309344 1404817 1465896 1954528 2809634 2931792 4214451 5619268 5863584 8428902 11238536 16857804 22477072 33715608 44954144 67431216 134862432