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7129980 = 223251113277
BaseRepresentation
bin11011001100101101111100
3111102020111100
4123030231330
53311124410
6412453100
7114414054
oct33145574
914366440
107129980
11402a950
12247a190
131628430
14d38564
1595c8c0
hex6ccb7c

7129980 has 144 divisors (see below), whose sum is σ = 25500384. Its totient is φ = 1589760.

The previous prime is 7129877. The next prime is 7130003. The reversal of 7129980 is 899217.

It is a happy number.

It is a super-2 number, since 2×71299802 = 101673229600800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25602 + ... + 25878.

It is an arithmetic number, because the mean of its divisors is an integer number (177086).

Almost surely, 27129980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7129980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12750192).

7129980 is an abundant number, since it is smaller than the sum of its proper divisors (18370404).

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

7129980 is a wasteful number, since it uses less digits than its factorization.

7129980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 7129980 is about 2670.2022395317. The cubic root of 7129980 is about 192.4698777852.

The spelling of 7129980 in words is "seven million, one hundred twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 277 286 330 390 396 429 468 495 554 572 585 660 715 780 831 858 990 1108 1170 1287 1385 1430 1662 1716 1980 2145 2340 2493 2574 2770 2860 3047 3324 3601 4155 4290 4986 5148 5540 6094 6435 7202 8310 8580 9141 9972 10803 12188 12465 12870 14404 15235 16620 18005 18282 21606 24930 25740 27423 30470 32409 36010 36564 39611 43212 45705 49860 54015 54846 60940 64818 72020 79222 91410 108030 109692 118833 129636 137115 158444 162045 182820 198055 216060 237666 274230 324090 356499 396110 475332 548460 594165 648180 712998 792220 1188330 1425996 1782495 2376660 3564990 7129980