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14250180 = 22357237131
BaseRepresentation
bin110110010111…
…000011000100
3222210222120110
4312113003010
512122001210
61225233020
7232060500
oct66270304
928728513
1014250180
11805340a
124932770
132c4c279
141c6d300
1513b7420
hexd970c4

14250180 has 144 divisors (see below), whose sum is σ = 48033216. Its totient is φ = 3144960.

The previous prime is 14250167. The next prime is 14250193. The reversal of 14250180 is 8105241.

It is an interprime number because it is at equal distance from previous prime (14250167) and next prime (14250193).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108715 + ... + 108845.

It is an arithmetic number, because the mean of its divisors is an integer number (333564).

Almost surely, 214250180 is an apocalyptic number.

14250180 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 14250180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24016608).

14250180 is an abundant number, since it is smaller than the sum of its proper divisors (33783036).

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

14250180 is a wasteful number, since it uses less digits than its factorization.

14250180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 14250180 is about 3774.9410591425. The cubic root of 14250180 is about 242.4414000893.

The spelling of 14250180 in words is "fourteen million, two hundred fifty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 49 60 70 74 84 98 105 111 131 140 147 148 185 196 210 222 245 259 262 294 370 393 420 444 490 518 524 555 588 655 735 740 777 786 917 980 1036 1110 1295 1310 1470 1554 1572 1813 1834 1965 2220 2590 2620 2751 2940 3108 3626 3668 3885 3930 4585 4847 5180 5439 5502 6419 7252 7770 7860 9065 9170 9694 10878 11004 12838 13755 14541 15540 18130 18340 19257 19388 21756 24235 25676 27195 27510 29082 32095 33929 36260 38514 48470 54390 55020 58164 64190 67858 72705 77028 96285 96940 101787 108780 128380 135716 145410 169645 192570 203574 237503 290820 339290 385140 407148 475006 508935 678580 712509 950012 1017870 1187515 1425018 2035740 2375030 2850036 3562545 4750060 7125090 14250180