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14707968 = 283111741
BaseRepresentation
bin111000000110…
…110100000000
31000200020112120
4320012310000
512231123333
61243124240
7236005242
oct70066400
930606476
1014707968
118336350
124b13680
13307c752
141d4c092
151457db3
hexe06d00

14707968 has 72 divisors (see below), whose sum is σ = 42727776. Its totient is φ = 4454400.

The previous prime is 14707963. The next prime is 14707969. The reversal of 14707968 is 86970741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14707961) 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, 7578 + ... + 9318.

Almost surely, 214707968 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 14707968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21363888).

14707968 is an abundant number, since it is smaller than the sum of its proper divisors (28019808).

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

14707968 is a wasteful number, since it uses less digits than its factorization.

14707968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 14707968 is about 3835.0968697023. The cubic root of 14707968 is about 245.0102341970.

The spelling of 14707968 in words is "fourteen million, seven hundred seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 1741 2112 2816 3482 4224 5223 6964 8448 10446 13928 19151 20892 27856 38302 41784 55712 57453 76604 83568 111424 114906 153208 167136 222848 229812 306416 334272 445696 459624 612832 668544 919248 1225664 1337088 1838496 2451328 3676992 4902656 7353984 14707968