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101366328 = 23371673613
BaseRepresentation
bin1100000101010…
…11101000111000
321001201221110110
412002223220320
5201422210303
614020344320
72340412440
oct602535070
9231657413
10101366328
1152245028
1229b450a0
131800169b
14d669120
158d74703
hex60aba38

101366328 has 64 divisors (see below), whose sum is σ = 291432960. Its totient is φ = 28780416.

The previous prime is 101366303. The next prime is 101366341. The reversal of 101366328 is 823663101.

It is a junction number, because it is equal to n+sod(n) for n = 101366295 and 101366304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26250 + ... + 29862.

It is an arithmetic number, because the mean of its divisors is an integer number (4553640).

Almost surely, 2101366328 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 101366328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145716480).

101366328 is an abundant number, since it is smaller than the sum of its proper divisors (190066632).

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

101366328 is a wasteful number, since it uses less digits than its factorization.

101366328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 101366328 is about 10068.0846241974. The cubic root of 101366328 is about 466.2633054252.

The spelling of 101366328 in words is "one hundred one million, three hundred sixty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 167 168 334 501 668 1002 1169 1336 2004 2338 3507 3613 4008 4676 7014 7226 9352 10839 14028 14452 21678 25291 28056 28904 43356 50582 75873 86712 101164 151746 202328 303492 603371 606984 1206742 1810113 2413484 3620226 4223597 4826968 7240452 8447194 12670791 14480904 16894388 25341582 33788776 50683164 101366328