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140628320 = 2557241521
BaseRepresentation
bin10000110000111…
…01000101100000
3100210121122210022
420120131011200
5242000101240
621542053012
73325215050
oct1030350540
9323548708
10140628320
1172421158
123b11a168
132319a331
1414969560
15c52c9b5
hex861d160

140628320 has 96 divisors (see below), whose sum is σ = 382003776. Its totient is φ = 47923200.

The previous prime is 140628289. The next prime is 140628331. The reversal of 140628320 is 23826041.

It is a super-3 number, since 3×1406283203 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 140628320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269660 + ... + 270180.

It is an arithmetic number, because the mean of its divisors is an integer number (3979206).

Almost surely, 2140628320 is an apocalyptic number.

140628320 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 140628320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191001888).

140628320 is an abundant number, since it is smaller than the sum of its proper divisors (241375456).

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

140628320 is a wasteful number, since it uses less digits than its factorization.

140628320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 140628320 is about 11858.6812082963. The cubic root of 140628320 is about 520.0250481031.

The spelling of 140628320 in words is "one hundred forty million, six hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 241 280 482 521 560 964 1042 1120 1205 1687 1928 2084 2410 2605 3374 3647 3856 4168 4820 5210 6748 7294 7712 8336 8435 9640 10420 13496 14588 16672 16870 18235 19280 20840 26992 29176 33740 36470 38560 41680 53984 58352 67480 72940 83360 116704 125561 134960 145880 251122 269920 291760 502244 583520 627805 878927 1004488 1255610 1757854 2008976 2511220 3515708 4017952 4394635 5022440 7031416 8789270 10044880 14062832 17578540 20089760 28125664 35157080 70314160 140628320