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14906970 = 23351331137
BaseRepresentation
bin111000110111…
…011001011010
31001001100112000
4320313121122
512304010340
61251301430
7240464361
oct70673132
931040460
1014906970
118461911
124baa876
13311c1c0
141da07d8
151496d30
hexe3765a

14906970 has 128 divisors (see below), whose sum is σ = 44513280. Its totient is φ = 3525120.

The previous prime is 14906933. The next prime is 14906971. The reversal of 14906970 is 7960941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14906971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108742 + ... + 108878.

It is an arithmetic number, because the mean of its divisors is an integer number (347760).

Almost surely, 214906970 is an apocalyptic number.

14906970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14906970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22256640).

14906970 is an abundant number, since it is smaller than the sum of its proper divisors (29606310).

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

14906970 is a wasteful number, since it uses less digits than its factorization.

14906970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 14906970 is about 3860.9545451870. The cubic root of 14906970 is about 246.1103015172.

It can be divided in two parts, 14906 and 970, that added together give a square (15876 = 1262).

The spelling of 14906970 in words is "fourteen million, nine hundred six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 31 39 45 54 62 65 78 90 93 117 130 135 137 155 186 195 234 270 274 279 310 351 390 403 411 465 558 585 685 702 806 822 837 930 1170 1209 1233 1370 1395 1674 1755 1781 2015 2055 2418 2466 2790 3510 3562 3627 3699 4030 4110 4185 4247 5343 6045 6165 7254 7398 8370 8494 8905 10686 10881 12090 12330 12741 16029 17810 18135 18495 21235 21762 25482 26715 32058 36270 36990 38223 42470 48087 53430 54405 55211 63705 76446 80145 96174 108810 110422 114669 127410 160290 165633 191115 229338 240435 276055 331266 382230 480870 496899 552110 573345 828165 993798 1146690 1490697 1656330 2484495 2981394 4968990 7453485 14906970