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100061696 = 29727919
BaseRepresentation
bin1011111011011…
…01001000000000
320222021122211202
411331231020000
5201103433241
613532400332
72323340030
oct575551000
9228248752
10100061696
1151533919
12296160a8
1317965907
14d4098c0
158bb7d9b
hex5f6d200

100061696 has 40 divisors (see below), whose sum is σ = 228497280. Its totient is φ = 42882048.

The previous prime is 100061693. The next prime is 100061701. The reversal of 100061696 is 696160001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100061693) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10376 + ... + 17543.

It is an arithmetic number, because the mean of its divisors is an integer number (5712432).

Almost surely, 2100061696 is an apocalyptic number.

100061696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100061696 is an abundant number, since it is smaller than the sum of its proper divisors (128435584).

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

100061696 is an frugal number, since it uses more digits than its factorization.

100061696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27944 (or 27928 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 100061696 is about 10003.0843243472. The cubic root of 100061696 is about 464.2543195588.

The spelling of 100061696 in words is "one hundred million, sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 27919 55838 111676 195433 223352 390866 446704 781732 893408 1563464 1786816 3126928 3573632 6253856 7147264 12507712 14294528 25015424 50030848 100061696