Search a number
-
+
14674920 = 23351323409
BaseRepresentation
bin110111111110…
…101111101000
31000121120012120
4313332233220
512224044140
61242311240
7235510011
oct67765750
930546176
1014674920
118313537
124ab8520
13306a6b0
141d40008
15144d1d0
hexdfebe8

14674920 has 128 divisors (see below), whose sum is σ = 49593600. Its totient is φ = 3446784.

The previous prime is 14674909. The next prime is 14674931. The reversal of 14674920 is 2947641.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14674909) and next prime (14674931).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35676 + ... + 36084.

It is an arithmetic number, because the mean of its divisors is an integer number (387450).

Almost surely, 214674920 is an apocalyptic number.

14674920 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 14674920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24796800).

14674920 is an abundant number, since it is smaller than the sum of its proper divisors (34918680).

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

14674920 is a wasteful number, since it uses less digits than its factorization.

14674920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 14674920 is about 3830.7858201680. The cubic root of 14674920 is about 244.8265883804.

The spelling of 14674920 in words is "fourteen million, six hundred seventy-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 299 312 345 390 409 460 520 552 598 690 780 818 897 920 1196 1227 1380 1495 1560 1636 1794 2045 2392 2454 2760 2990 3272 3588 4090 4485 4908 5317 5980 6135 7176 8180 8970 9407 9816 10634 11960 12270 15951 16360 17940 18814 21268 24540 26585 28221 31902 35880 37628 42536 47035 49080 53170 56442 63804 75256 79755 94070 106340 112884 122291 127608 141105 159510 188140 212680 225768 244582 282210 319020 366873 376280 489164 564420 611455 638040 733746 978328 1128840 1222910 1467492 1834365 2445820 2934984 3668730 4891640 7337460 14674920