Search a number
-
+
12974040 = 2333541293
BaseRepresentation
bin110001011111…
…011111011000
3220102011001000
4301133133120
511310132130
61142025000
7215164122
oct61373730
926364030
1012974040
117361652
124418160
1328c3461
141a1a212
151214260
hexc5f7d8

12974040 has 128 divisors (see below), whose sum is σ = 44452800. Its totient is φ = 3363840.

The previous prime is 12974033. The next prime is 12974083. The reversal of 12974040 is 4047921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12973995 and 12974013.

It is a congruent number.

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, 44134 + ... + 44426.

Almost surely, 212974040 is an apocalyptic number.

12974040 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 12974040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22226400).

12974040 is an abundant number, since it is smaller than the sum of its proper divisors (31478760).

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

12974040 is a wasteful number, since it uses less digits than its factorization.

12974040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12974040 is about 3601.9494721609. The cubic root of 12974040 is about 234.9768499906.

The spelling of 12974040 in words is "twelve million, nine hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 82 90 108 120 123 135 164 180 205 216 246 270 293 328 360 369 410 492 540 586 615 738 820 879 984 1080 1107 1172 1230 1465 1476 1640 1758 1845 2214 2344 2460 2637 2930 2952 3516 3690 4395 4428 4920 5274 5535 5860 7032 7380 7911 8790 8856 10548 11070 11720 12013 13185 14760 15822 17580 21096 22140 24026 26370 31644 35160 36039 39555 44280 48052 52740 60065 63288 72078 79110 96104 105480 108117 120130 144156 158220 180195 216234 240260 288312 316440 324351 360390 432468 480520 540585 648702 720780 864936 1081170 1297404 1441560 1621755 2162340 2594808 3243510 4324680 6487020 12974040