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14453920 = 255136949
BaseRepresentation
bin110111001000…
…110010100000
31000012100001101
4313020302200
512200011140
61233444144
7233566465
oct67106240
930170041
1014453920
118182498
124a10654
132cc0c20
141cc366c
15140799a
hexdc8ca0

14453920 has 48 divisors (see below), whose sum is σ = 36779400. Its totient is φ = 5336064.

The previous prime is 14453917. The next prime is 14453921. The reversal of 14453920 is 2935441.

It can be written as a sum of positive squares in 4 ways, for example, as 11751184 + 2702736 = 3428^2 + 1644^2 .

It is not an unprimeable number, because it can be changed into a prime (14453921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1395 + ... + 5554.

Almost surely, 214453920 is an apocalyptic number.

14453920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14453920 is an abundant number, since it is smaller than the sum of its proper divisors (22325480).

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

14453920 is a wasteful number, since it uses less digits than its factorization.

14453920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6977 (or 6969 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 14453920 is about 3801.8311377545. The cubic root of 14453920 is about 243.5913611636.

It can be divided in two parts, 1445 and 3920, that multiplied together give a square (5664400 = 23802).

The spelling of 14453920 in words is "fourteen million, four hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 6949 13898 27796 34745 55592 69490 90337 111184 138980 180674 222368 277960 361348 451685 555920 722696 903370 1111840 1445392 1806740 2890784 3613480 7226960 14453920