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96357132 = 223219179787
BaseRepresentation
bin1011011111001…
…00101100001100
320201022110010200
411233210230030
5144131412012
613321133500
72250010404
oct557445414
9221273120
1096357132
114a4335a3
122832a290
1316c69671
14cb23804
1586d53dc
hex5be4b0c

96357132 has 72 divisors (see below), whose sum is σ = 258148800. Its totient is φ = 30220128.

The previous prime is 96357049. The next prime is 96357133. The reversal of 96357132 is 23175369.

96357132 is a `hidden beast` number, since 9 + 635 + 7 + 13 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (96357133) 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, 122043 + ... + 122829.

It is an arithmetic number, because the mean of its divisors is an integer number (3585400).

Almost surely, 296357132 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 96357132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129074400).

96357132 is an abundant number, since it is smaller than the sum of its proper divisors (161791668).

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

96357132 is a wasteful number, since it uses less digits than its factorization.

96357132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 990 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 96357132 is about 9816.1668689973. The cubic root of 96357132 is about 458.4527917234.

The spelling of 96357132 in words is "ninety-six million, three hundred fifty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 179 228 342 358 537 684 716 787 1074 1574 1611 2148 2361 3148 3222 3401 4722 6444 6802 7083 9444 10203 13604 14166 14953 20406 28332 29906 30609 40812 44859 59812 61218 89718 122436 134577 140873 179436 269154 281746 422619 538308 563492 845238 1267857 1690476 2535714 2676587 5071428 5353174 8029761 10706348 16059522 24089283 32119044 48178566 96357132