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250166640 = 24351397499
BaseRepresentation
bin11101110100100…
…11110101110000
3122102201210010010
432322103311300
51003020313030
640453534520
76125244543
oct1672236560
9572653103
10250166640
11119237999
126b944440
133caa04c9
142532085a
1516e686b0
hexee93d70

250166640 has 80 divisors (see below), whose sum is σ = 781200000. Its totient is φ = 66222336.

The previous prime is 250166617. The next prime is 250166659. The reversal of 250166640 is 46661052.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 250166598 and 250166607.

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, 29611 + ... + 37109.

It is an arithmetic number, because the mean of its divisors is an integer number (9765000).

Almost surely, 2250166640 is an apocalyptic number.

250166640 is a gapful number since it is divisible by the number (20) 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 250166640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390600000).

250166640 is an abundant number, since it is smaller than the sum of its proper divisors (531033360).

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

250166640 is a wasteful number, since it uses less digits than its factorization.

250166640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7654 (or 7648 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 250166640 is about 15816.6570424980. The cubic root of 250166640 is about 630.1004626889.

The spelling of 250166640 in words is "two hundred fifty million, one hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 5560 6672 7499 8340 11120 14998 16680 22497 29996 33360 37495 44994 59992 74990 89988 112485 119984 149980 179976 224970 299960 359952 449940 599920 899880 1042361 1799760 2084722 3127083 4169444 5211805 6254166 8338888 10423610 12508332 15635415 16677776 20847220 25016664 31270830 41694440 50033328 62541660 83388880 125083320 250166640