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96347136 = 210379397
BaseRepresentation
bin1011011111000…
…10010000000000
320201021221102110
411233202100000
5144131102021
613321015320
72246636304
oct557422000
9221257373
1096347136
114a427036
1228324540
1316c64c52
14cb1dd04
1586d2476
hex5be2400

96347136 has 88 divisors (see below), whose sum is σ = 260705920. Its totient is φ = 31629312.

The previous prime is 96347117. The next prime is 96347179. The reversal of 96347136 is 63174369.

It is a junction number, because it is equal to n+sod(n) for n = 96347094 and 96347103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242490 + ... + 242886.

Almost surely, 296347136 is an apocalyptic number.

96347136 is a gapful number since it is divisible by the number (96) 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 96347136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130352960).

96347136 is an abundant number, since it is smaller than the sum of its proper divisors (164358784).

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

96347136 is a wasteful number, since it uses less digits than its factorization.

96347136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 481 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 96347136 is about 9815.6576957431. The cubic root of 96347136 is about 458.4369380186.

The spelling of 96347136 in words is "ninety-six million, three hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 397 474 512 632 768 794 948 1024 1191 1264 1536 1588 1896 2382 2528 3072 3176 3792 4764 5056 6352 7584 9528 10112 12704 15168 19056 20224 25408 30336 31363 38112 40448 50816 60672 62726 76224 80896 94089 101632 121344 125452 152448 188178 203264 242688 250904 304896 376356 406528 501808 609792 752712 1003616 1219584 1505424 2007232 3010848 4014464 6021696 8028928 12043392 16057856 24086784 32115712 48173568 96347136