[go: up one dir, main page]

Search a number
-
+
13750440 = 2335112947
BaseRepresentation
bin110100011101…
…000010101000
3221212121001120
4310131002220
512010003230
61210415240
7224606514
oct64350250
927777046
1013750440
117841a00
124731520
132b05972
141b7d144
151319310
hexd1d0a8

13750440 has 96 divisors (see below), whose sum is σ = 45390240. Its totient is φ = 3329920.

The previous prime is 13750439. The next prime is 13750469. The reversal of 13750440 is 4405731.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13750440.

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, 14047 + ... + 14993.

It is an arithmetic number, because the mean of its divisors is an integer number (472815).

Almost surely, 213750440 is an apocalyptic number.

13750440 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 13750440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22695120).

13750440 is an abundant number, since it is smaller than the sum of its proper divisors (31639800).

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

13750440 is a wasteful number, since it uses less digits than its factorization.

13750440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 13750440 is about 3708.1585726611. The cubic root of 13750440 is about 239.5735482498.

The spelling of 13750440 in words is "thirteen million, seven hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 947 968 1210 1320 1452 1815 1894 2420 2841 2904 3630 3788 4735 4840 5682 7260 7576 9470 10417 11364 14205 14520 18940 20834 22728 28410 31251 37880 41668 52085 56820 62502 83336 104170 113640 114587 125004 156255 208340 229174 250008 312510 343761 416680 458348 572935 625020 687522 916696 1145870 1250040 1375044 1718805 2291740 2750088 3437610 4583480 6875220 13750440