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13697424 = 243513271
BaseRepresentation
bin110100010000…
…000110010000
3221202220100000
4310100012100
512001304144
61205330000
7224266116
oct64200620
927686300
1013697424
117806094
124706900
132ab77b0
141b67ab6
151308769
hexd10190

13697424 has 120 divisors (see below), whose sum is σ = 42969472. Its totient is φ = 4199040.

The previous prime is 13697399. The next prime is 13697429. The reversal of 13697424 is 42479631.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13697429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50409 + ... + 50679.

Almost surely, 213697424 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 13697424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21484736).

13697424 is an abundant number, since it is smaller than the sum of its proper divisors (29272048).

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

13697424 is a wasteful number, since it uses less digits than its factorization.

13697424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 289 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13697424 is about 3701.0031072670. The cubic root of 13697424 is about 239.2652529067.

The spelling of 13697424 in words is "thirteen million, six hundred ninety-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 271 312 324 351 432 468 486 542 624 648 702 813 936 972 1053 1084 1296 1404 1626 1872 1944 2106 2168 2439 2808 3159 3252 3523 3888 4212 4336 4878 5616 6318 6504 7046 7317 8424 9756 10569 12636 13008 14092 14634 16848 19512 21138 21951 25272 28184 29268 31707 39024 42276 43902 50544 56368 58536 63414 65853 84552 87804 95121 117072 126828 131706 169104 175608 190242 253656 263412 285363 351216 380484 507312 526824 570726 760968 856089 1053648 1141452 1521936 1712178 2282904 3424356 4565808 6848712 13697424