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14158100 = 22521161211
BaseRepresentation
bin110110000000…
…100100010100
3222122022021002
4312000210110
512111024400
61223242432
7231225155
oct66004424
928568232
1014158100
117aa0210
1248a9418
132c19398
141c4792c
151399ed5
hexd80914

14158100 has 72 divisors (see below), whose sum is σ = 34226976. Its totient is φ = 5040000.

The previous prime is 14158091. The next prime is 14158117. The reversal of 14158100 is 185141.

It is a super-2 number, since 2×141581002 = 400903591220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66995 + ... + 67205.

Almost surely, 214158100 is an apocalyptic number.

14158100 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 14158100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17113488).

14158100 is an abundant number, since it is smaller than the sum of its proper divisors (20068876).

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

14158100 is a wasteful number, since it uses less digits than its factorization.

14158100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 14158100 is about 3762.7250763243. The cubic root of 14158100 is about 241.9180789582.

The spelling of 14158100 in words is "fourteen million, one hundred fifty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 100 110 122 211 220 244 275 305 422 550 610 671 844 1055 1100 1220 1342 1525 2110 2321 2684 3050 3355 4220 4642 5275 6100 6710 9284 10550 11605 12871 13420 16775 21100 23210 25742 33550 46420 51484 58025 64355 67100 116050 128710 141581 232100 257420 283162 321775 566324 643550 707905 1287100 1415810 2831620 3539525 7079050 14158100