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13422080 = 29572107
BaseRepresentation
bin110011001100…
…111000000000
3221020220122002
4303030320000
511414001310
61155403132
7222041300
oct63147000
927226562
1013422080
117638231
1245b34a8
132a1c379
141ad5600
1512a1da5
hexccce00

13422080 has 120 divisors (see below), whose sum is σ = 37785528. Its totient is φ = 4558848.

The previous prime is 13422077. The next prime is 13422089. The reversal of 13422080 is 8022431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13422089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125387 + ... + 125493.

Almost surely, 213422080 is an apocalyptic number.

13422080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18892764).

13422080 is an abundant number, since it is smaller than the sum of its proper divisors (24363448).

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

13422080 is an equidigital number, since it uses as much as digits as its factorization.

13422080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 13422080 is about 3663.6157003703. The cubic root of 13422080 is about 237.6511613878.

The spelling of 13422080 in words is "thirteen million, four hundred twenty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 107 112 128 140 160 196 214 224 245 256 280 320 392 428 448 490 512 535 560 640 749 784 856 896 980 1070 1120 1280 1498 1568 1712 1792 1960 2140 2240 2560 2996 3136 3424 3584 3745 3920 4280 4480 5243 5992 6272 6848 7490 7840 8560 8960 10486 11984 12544 13696 14980 15680 17120 17920 20972 23968 25088 26215 27392 29960 31360 34240 41944 47936 52430 54784 59920 62720 68480 83888 95872 104860 119840 125440 136960 167776 191744 209720 239680 273920 335552 383488 419440 479360 671104 838880 958720 1342208 1677760 1917440 2684416 3355520 6711040 13422080