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14254080 = 2153529
BaseRepresentation
bin110110011000…
…000000000000
3222211011220220
4312120000000
512122112310
61225303040
7232105041
oct66300000
928734826
1014254080
118056335
124934a80
132c50c89
141c708c8
1513b8670
hexd98000

14254080 has 128 divisors (see below), whose sum is σ = 47185200. Its totient is φ = 3670016.

The previous prime is 14254073. The next prime is 14254087. The reversal of 14254080 is 8045241.

It is an interprime number because it is at equal distance from previous prime (14254073) and next prime (14254087).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nialpdrome in base 8 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 14254080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14254087) 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, 491506 + ... + 491534.

Almost surely, 214254080 is an apocalyptic number.

14254080 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 14254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23592600).

14254080 is an abundant number, since it is smaller than the sum of its proper divisors (32931120).

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

14254080 is an frugal number, since it uses more digits than its factorization.

14254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 14254080 is about 3775.4575881607. The cubic root of 14254080 is about 242.4635152536.

The spelling of 14254080 in words is "fourteen million, two hundred fifty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 512 580 640 696 768 870 928 960 1024 1160 1280 1392 1536 1740 1856 1920 2048 2320 2560 2784 3072 3480 3712 3840 4096 4640 5120 5568 6144 6960 7424 7680 8192 9280 10240 11136 12288 13920 14848 15360 16384 18560 20480 22272 24576 27840 29696 30720 32768 37120 40960 44544 49152 55680 59392 61440 74240 81920 89088 98304 111360 118784 122880 148480 163840 178176 222720 237568 245760 296960 356352 445440 475136 491520 593920 712704 890880 950272 1187840 1425408 1781760 2375680 2850816 3563520 4751360 7127040 14254080