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139948900 = 225272134
BaseRepresentation
bin10000101011101…
…11001101100100
3100202100010210121
420111313031210
5241311331100
621515331324
73316355200
oct1025671544
9322303717
10139948900
1171aa7753
123aa50b44
1322cc0000
141482db00
15c44651a
hex8577364

139948900 has 135 divisors (see below), whose sum is σ = 382709229. Its totient is φ = 44291520.

The previous prime is 139948871. The next prime is 139948901. The reversal of 139948900 is 9849931.

The square root of 139948900 is 11830.

It is a perfect power (a square), and thus also a powerful number.

139948900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 137311524 + 2637376 = 11718^2 + 1624^2 .

It is a super-2 number, since 2×1399489002 = 39171389222420000, which contains 22 as substring.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (139948901) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10765294 + ... + 10765306.

Almost surely, 2139948900 is an apocalyptic number.

139948900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

139948900 is the 11830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139948900

139948900 is an abundant number, since it is smaller than the sum of its proper divisors (242760329).

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

139948900 is an equidigital number, since it uses as much as digits as its factorization.

139948900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The cubic root of 139948900 is about 519.1862271523.

The spelling of 139948900 in words is "one hundred thirty-nine million, nine hundred forty-eight thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 49 50 52 65 70 91 98 100 130 140 169 175 182 196 245 260 325 338 350 364 455 490 637 650 676 700 845 910 980 1183 1225 1274 1300 1690 1820 2197 2275 2366 2450 2548 3185 3380 4225 4394 4550 4732 4900 5915 6370 8281 8450 8788 9100 10985 11830 12740 15379 15925 16562 16900 21970 23660 28561 29575 30758 31850 33124 41405 43940 54925 57122 59150 61516 63700 76895 82810 107653 109850 114244 118300 142805 153790 165620 199927 207025 215306 219700 285610 307580 384475 399854 414050 430612 538265 571220 714025 768950 799708 828100 999635 1076530 1399489 1428050 1537900 1999270 2153060 2691325 2798978 2856100 3998540 4998175 5382650 5597956 6997445 9996350 10765300 13994890 19992700 27989780 34987225 69974450 139948900