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13402116 = 22327134091
BaseRepresentation
bin110011001000…
…000000000100
3221012220020200
4303020000010
511412331431
61155130500
7221626140
oct63100004
927186220
1013402116
117624232
1245a3a30
132a13260
141acc220
15129aee6
hexcc8004

13402116 has 72 divisors (see below), whose sum is σ = 41705664. Its totient is φ = 3533760.

The previous prime is 13402099. The next prime is 13402133. The reversal of 13402116 is 61120431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13402099) and next prime (13402133).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1231 + ... + 5321.

Almost surely, 213402116 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 13402116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20852832).

13402116 is an abundant number, since it is smaller than the sum of its proper divisors (28303548).

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

13402116 is a wasteful number, since it uses less digits than its factorization.

13402116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4121 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13402116 is about 3660.8900557105. The cubic root of 13402116 is about 237.5332754854.

Adding to 13402116 its reverse (61120431), we get a palindrome (74522547).

The spelling of 13402116 in words is "thirteen million, four hundred two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 4091 8182 12273 16364 24546 28637 36819 49092 53183 57274 73638 85911 106366 114548 147276 159549 171822 212732 257733 319098 343644 372281 478647 515466 638196 744562 957294 1030932 1116843 1489124 1914588 2233686 3350529 4467372 6701058 13402116