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29101116 = 223111131951
BaseRepresentation
bin110111100000…
…0110000111100
32000202111020010
41233000300330
524422213431
62515423220
7502232622
oct157006074
960674203
1029101116
1115477110
1298b4b10
13604bac5
143c17512
15284c846
hex1bc0c3c

29101116 has 48 divisors (see below), whose sum is σ = 74769408. Its totient is φ = 8736000.

The previous prime is 29101109. The next prime is 29101117. The reversal of 29101116 is 61110192.

It is a junction number, because it is equal to n+sod(n) for n = 29101092 and 29101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29101117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13941 + ... + 15891.

It is an arithmetic number, because the mean of its divisors is an integer number (1557696).

Almost surely, 229101116 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 29101116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37384704).

29101116 is an abundant number, since it is smaller than the sum of its proper divisors (45668292).

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

29101116 is a wasteful number, since it uses less digits than its factorization.

29101116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The square root of 29101116 is about 5394.5450225204. The cubic root of 29101116 is about 307.5883492583.

The spelling of 29101116 in words is "twenty-nine million, one hundred one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 132 226 339 452 678 1243 1356 1951 2486 3729 3902 4972 5853 7458 7804 11706 14916 21461 23412 42922 64383 85844 128766 220463 257532 440926 661389 881852 1322778 2425093 2645556 4850186 7275279 9700372 14550558 29101116