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96700416 = 211315739
BaseRepresentation
bin1011100001110…
…00100000000000
320201221220000220
411300320200000
5144223403131
613332343040
72252640261
oct560704000
9221856026
1096700416
114a6484aa
1228474a80
13170599a7
14cbb2968
158751e96
hex5c38800

96700416 has 48 divisors (see below), whose sum is σ = 257821200. Its totient is φ = 32231424.

The previous prime is 96700397. The next prime is 96700447. The reversal of 96700416 is 61400769.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1726 + ... + 14013.

It is an arithmetic number, because the mean of its divisors is an integer number (5371275).

Almost surely, 296700416 is an apocalyptic number.

96700416 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 96700416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128910600).

96700416 is an abundant number, since it is smaller than the sum of its proper divisors (161120784).

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

96700416 is a wasteful number, since it uses less digits than its factorization.

96700416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15764 (or 15744 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 96700416 is about 9833.6369670636. The cubic root of 96700416 is about 458.9965777390.

The spelling of 96700416 in words is "ninety-six million, seven hundred thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 15739 31478 47217 62956 94434 125912 188868 251824 377736 503648 755472 1007296 1510944 2014592 3021888 4029184 6043776 8058368 12087552 16116736 24175104 32233472 48350208 96700416