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7148900 = 2252116797
BaseRepresentation
bin11011010001010101100100
3111110012110002
4123101111210
53312231100
6413120432
7114523163
oct33212544
914405402
107148900
114043090
122489118
131633c25
14d413da
159632d5
hex6d1564

7148900 has 72 divisors (see below), whose sum is σ = 17353056. Its totient is φ = 2534400.

The previous prime is 7148899. The next prime is 7148917. The reversal of 7148900 is 98417.

It is a super-2 number, since 2×71489002 = 102213542420000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73652 + ... + 73748.

Almost surely, 27148900 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 7148900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8676528).

7148900 is an abundant number, since it is smaller than the sum of its proper divisors (10204156).

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

7148900 is a wasteful number, since it uses less digits than its factorization.

7148900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 7148900 is about 2673.7426951747. The cubic root of 7148900 is about 192.6399724088.

The spelling of 7148900 in words is "seven million, one hundred forty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 67 97 100 110 134 194 220 268 275 335 388 485 550 670 737 970 1067 1100 1340 1474 1675 1940 2134 2425 2948 3350 3685 4268 4850 5335 6499 6700 7370 9700 10670 12998 14740 18425 21340 25996 26675 32495 36850 53350 64990 71489 73700 106700 129980 142978 162475 285956 324950 357445 649900 714890 1429780 1787225 3574450 7148900