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95132128 = 2572132359
BaseRepresentation
bin1011010101110…
…01100111100000
320122000012202011
411222321213200
5143323212003
613235002304
72233416100
oct552714740
9218005664
1095132128
11497771a3
1227a39394
131692ac00
14c8c5200
15854246d
hex5ab99e0

95132128 has 108 divisors (see below), whose sum is σ = 236575080. Its totient is φ = 37529856.

The previous prime is 95132113. The next prime is 95132129. The reversal of 95132128 is 82123159.

It is a self number, because there is not a number n which added to its sum of digits gives 95132128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95132129) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 264813 + ... + 265171.

It is an arithmetic number, because the mean of its divisors is an integer number (2190510).

Almost surely, 295132128 is an apocalyptic number.

95132128 is a gapful number since it is divisible by the number (98) 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 95132128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118287540).

95132128 is an abundant number, since it is smaller than the sum of its proper divisors (141442952).

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

95132128 is a wasteful number, since it uses less digits than its factorization.

95132128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 381 counting only the distinct ones).

The product of its digits is 4320, while the sum is 31.

The square root of 95132128 is about 9753.5700130773. The cubic root of 95132128 is about 456.5017049115.

The spelling of 95132128 in words is "ninety-five million, one hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 169 182 196 208 224 338 359 364 392 416 637 676 718 728 784 1183 1274 1352 1436 1456 1568 2366 2513 2548 2704 2872 2912 4667 4732 5026 5096 5408 5744 8281 9334 9464 10052 10192 11488 16562 17591 18668 18928 20104 20384 32669 33124 35182 37336 37856 40208 60671 65338 66248 70364 74672 80416 121342 130676 132496 140728 149344 228683 242684 261352 264992 281456 424697 457366 485368 522704 562912 849394 914732 970736 1045408 1698788 1829464 1941472 2972879 3397576 3658928 5945758 6795152 7317856 11891516 13590304 23783032 47566064 95132128