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14734920 = 23351731233
BaseRepresentation
bin111000001101…
…011001001000
31000201121111210
4320031121020
512233004140
61243453120
7236146644
oct70153110
930647453
1014734920
118354622
124b271a0
13308bab5
141d57c24
151460d80
hexe0d648

14734920 has 128 divisors (see below), whose sum is σ = 48522240. Its totient is φ = 3563520.

The previous prime is 14734919. The next prime is 14734933. The reversal of 14734920 is 2943741.

It is a happy number.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63124 + ... + 63356.

It is an arithmetic number, because the mean of its divisors is an integer number (379080).

Almost surely, 214734920 is an apocalyptic number.

14734920 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 14734920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24261120).

14734920 is an abundant number, since it is smaller than the sum of its proper divisors (33787320).

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

14734920 is a wasteful number, since it uses less digits than its factorization.

14734920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 14734920 is about 3838.6091231070. The cubic root of 14734920 is about 245.1598013417.

The spelling of 14734920 in words is "fourteen million, seven hundred thirty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 31 34 40 51 60 62 68 85 93 102 120 124 136 155 170 186 204 233 248 255 310 340 372 408 465 466 510 527 620 680 699 744 930 932 1020 1054 1165 1240 1398 1581 1860 1864 2040 2108 2330 2635 2796 3162 3495 3720 3961 4216 4660 5270 5592 6324 6990 7223 7905 7922 9320 10540 11883 12648 13980 14446 15810 15844 19805 21080 21669 23766 27960 28892 31620 31688 36115 39610 43338 47532 57784 59415 63240 72230 79220 86676 95064 108345 118830 122791 144460 158440 173352 216690 237660 245582 288920 368373 433380 475320 491164 613955 736746 866760 982328 1227910 1473492 1841865 2455820 2946984 3683730 4911640 7367460 14734920