Search a number
-
+
75354136 = 231113199331
BaseRepresentation
bin1000111110111…
…01000000011000
312020210101102221
410133131000120
5123242313021
611251033424
71603333234
oct437350030
9166711387
1075354136
1139598750
122129b874
13127c4860
14a0175c4
156937241
hex47dd018

75354136 has 64 divisors (see below), whose sum is σ = 167328000. Its totient is φ = 31363200.

The previous prime is 75354121. The next prime is 75354137. The reversal of 75354136 is 63145357.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75354137) 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, 227491 + ... + 227821.

It is an arithmetic number, because the mean of its divisors is an integer number (2614500).

Almost surely, 275354136 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 75354136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83664000).

75354136 is an abundant number, since it is smaller than the sum of its proper divisors (91973864).

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

75354136 is a wasteful number, since it uses less digits than its factorization.

75354136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 556 counting only the distinct ones).

The product of its digits is 37800, while the sum is 34.

The square root of 75354136 is about 8680.6760105420. The cubic root of 75354136 is about 422.3790459408.

The spelling of 75354136 in words is "seventy-five million, three hundred fifty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 199 286 331 398 572 662 796 1144 1324 1592 2189 2587 2648 3641 4303 4378 5174 7282 8606 8756 10348 14564 17212 17512 20696 28457 29128 34424 47333 56914 65869 94666 113828 131738 189332 227656 263476 378664 526952 724559 856297 1449118 1712594 2898236 3425188 5796472 6850376 9419267 18838534 37677068 75354136