[go: up one dir, main page]

Search a number
-
+
14778940 = 22511231197
BaseRepresentation
bin111000011000…
…001000111100
31000210211220011
4320120020330
512240411230
61244433004
7236422201
oct70301074
930724804
1014778940
118384700
124b48764
1330a5b47
141d69ca8
15146de2a
hexe1823c

14778940 has 72 divisors (see below), whose sum is σ = 35392896. Its totient is φ = 5174400.

The previous prime is 14778937. The next prime is 14778943. The reversal of 14778940 is 4987741.

14778940 = T251 + T252 + ... + T470.

It is an interprime number because it is at equal distance from previous prime (14778937) and next prime (14778943).

It is a junction number, because it is equal to n+sod(n) for n = 14778893 and 14778902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14778943) 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, 74922 + ... + 75118.

It is an arithmetic number, because the mean of its divisors is an integer number (491568).

Almost surely, 214778940 is an apocalyptic number.

14778940 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 14778940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696448).

14778940 is an abundant number, since it is smaller than the sum of its proper divisors (20613956).

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

14778940 is a wasteful number, since it uses less digits than its factorization.

14778940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 14778940 is about 3844.3386947562. The cubic root of 14778940 is about 245.4036937513.

The spelling of 14778940 in words is "fourteen million, seven hundred seventy-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 121 124 155 197 220 242 310 341 394 484 605 620 682 788 985 1210 1364 1705 1970 2167 2420 3410 3751 3940 4334 6107 6820 7502 8668 10835 12214 15004 18755 21670 23837 24428 30535 37510 43340 47674 61070 67177 75020 95348 119185 122140 134354 238370 268708 335885 476740 671770 738947 1343540 1477894 2955788 3694735 7389470 14778940