[go: up one dir, main page]

Search a number
-
+
13945464 = 23321347317
BaseRepresentation
bin110101001100…
…101001111000
3222020111120200
4311030221320
512032223324
61214522200
7226351221
oct65145170
928214520
1013945464
117965485
124806360
132b73670
141bd0248
151356ec9
hexd4ca78

13945464 has 96 divisors (see below), whose sum is σ = 41670720. Its totient is φ = 4186368.

The previous prime is 13945441. The next prime is 13945469. The reversal of 13945464 is 46454931.

13945464 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13945469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43834 + ... + 44150.

It is an arithmetic number, because the mean of its divisors is an integer number (434070).

Almost surely, 213945464 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 13945464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20835360).

13945464 is an abundant number, since it is smaller than the sum of its proper divisors (27725256).

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

13945464 is a wasteful number, since it uses less digits than its factorization.

13945464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 382 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 13945464 is about 3734.3625962137. The cubic root of 13945464 is about 240.7008679415.

The spelling of 13945464 in words is "thirteen million, nine hundred forty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 47 52 72 78 94 104 117 141 156 188 234 282 312 317 376 423 468 564 611 634 846 936 951 1128 1222 1268 1692 1833 1902 2444 2536 2853 3384 3666 3804 4121 4888 5499 5706 7332 7608 8242 10998 11412 12363 14664 14899 16484 21996 22824 24726 29798 32968 37089 43992 44697 49452 59596 74178 89394 98904 119192 134091 148356 178788 193687 268182 296712 357576 387374 536364 581061 774748 1072728 1162122 1549496 1743183 2324244 3486366 4648488 6972732 13945464