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13422960 = 24325103181
BaseRepresentation
bin110011001101…
…000101110000
3221020221211200
4303031011300
511414013320
61155411200
7222043665
oct63150560
927227750
1013422960
117638961
1245b3b00
132a1c8a5
141ad5a6c
1512a2290
hexccd170

13422960 has 120 divisors (see below), whose sum is σ = 45767904. Its totient is φ = 3525120.

The previous prime is 13422943. The next prime is 13423019. The reversal of 13422960 is 6922431.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74070 + ... + 74250.

Almost surely, 213422960 is an apocalyptic number.

13422960 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 13422960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22883952).

13422960 is an abundant number, since it is smaller than the sum of its proper divisors (32344944).

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

13422960 is a wasteful number, since it uses less digits than its factorization.

13422960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13422960 is about 3663.7357983348. The cubic root of 13422960 is about 237.6563550302.

The spelling of 13422960 in words is "thirteen million, four hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 103 120 144 180 181 206 240 309 360 362 412 515 543 618 720 724 824 905 927 1030 1086 1236 1448 1545 1629 1648 1810 1854 2060 2172 2472 2715 2896 3090 3258 3620 3708 4120 4344 4635 4944 5430 6180 6516 7240 7416 8145 8240 8688 9270 10860 12360 13032 14480 14832 16290 18540 18643 21720 24720 26064 32580 37080 37286 43440 55929 65160 74160 74572 93215 111858 130320 149144 167787 186430 223716 279645 298288 335574 372860 447432 559290 671148 745720 838935 894864 1118580 1342296 1491440 1677870 2237160 2684592 3355740 4474320 6711480 13422960